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Calculate common difference and the first term [closed]
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The sum of the 6th and 10th terms of an arithmetic sequence is 24. The 11th term exceeds the 8th term by 8 . Calculate
a) the common difference
b) the first term
sequences-and-series arithmetic
asked Jul 17 at 9:47
Lydia Eviana
81
closed as off-topic by Karn Watcharasupat, Shaun, José Carlos Santos, Claude Leibovici, Brevan Ellefsen Jul 17 at 9:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." РKarn Watcharasupat, Shaun, Jos̩ Carlos Santos, Claude Leibovici, Brevan Ellefsen
add a comment |Â
up vote
-2
down vote
favorite
The sum of the 6th and 10th terms of an arithmetic sequence is 24. The 11th term exceeds the 8th term by 8 . Calculate
a) the common difference
b) the first term
sequences-and-series arithmetic
asked Jul 17 at 9:47
Lydia Eviana
81
closed as off-topic by Karn Watcharasupat, Shaun, José Carlos Santos, Claude Leibovici, Brevan Ellefsen Jul 17 at 9:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." РKarn Watcharasupat, Shaun, Jos̩ Carlos Santos, Claude Leibovici, Brevan Ellefsen
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15
add a comment |Â
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
The sum of the 6th and 10th terms of an arithmetic sequence is 24. The 11th term exceeds the 8th term by 8 . Calculate
a) the common difference
b) the first term
sequences-and-series arithmetic
asked Jul 17 at 9:47
Lydia Eviana
81
The sum of the 6th and 10th terms of an arithmetic sequence is 24. The 11th term exceeds the 8th term by 8 . Calculate
a) the common difference
b) the first term
sequences-and-series arithmetic
asked Jul 17 at 9:47
Lydia Eviana
81
asked Jul 17 at 9:47
Lydia Eviana
81
asked Jul 17 at 9:47
Lydia Eviana
81
asked Jul 17 at 9:47
Lydia Eviana
81
81
closed as off-topic by Karn Watcharasupat, Shaun, José Carlos Santos, Claude Leibovici, Brevan Ellefsen Jul 17 at 9:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." РKarn Watcharasupat, Shaun, Jos̩ Carlos Santos, Claude Leibovici, Brevan Ellefsen
closed as off-topic by Karn Watcharasupat, Shaun, José Carlos Santos, Claude Leibovici, Brevan Ellefsen Jul 17 at 9:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." РKarn Watcharasupat, Shaun, Jos̩ Carlos Santos, Claude Leibovici, Brevan Ellefsen
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15
add a comment |Â
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15
add a comment |Â
1 Answer
1
active
oldest
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0
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Let the common distance be $d$ and the sequence be $a_i$. Then $$a_6+a_10=24$$ but $a_10=a_6+4d$ and $a_6=a_0+6d$.
Can you continue from here?
answered Jul 17 at 9:56
Shaun
7,41492972
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
Let the common distance be $d$ and the sequence be $a_i$. Then $$a_6+a_10=24$$ but $a_10=a_6+4d$ and $a_6=a_0+6d$.
Can you continue from here?
answered Jul 17 at 9:56
Shaun
7,41492972
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
add a comment |Â
up vote
0
down vote
accepted
Let the common distance be $d$ and the sequence be $a_i$. Then $$a_6+a_10=24$$ but $a_10=a_6+4d$ and $a_6=a_0+6d$.
Can you continue from here?
answered Jul 17 at 9:56
Shaun
7,41492972
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
Let the common distance be $d$ and the sequence be $a_i$. Then $$a_6+a_10=24$$ but $a_10=a_6+4d$ and $a_6=a_0+6d$.
Can you continue from here?
answered Jul 17 at 9:56
Shaun
7,41492972
Let the common distance be $d$ and the sequence be $a_i$. Then $$a_6+a_10=24$$ but $a_10=a_6+4d$ and $a_6=a_0+6d$.
Can you continue from here?
answered Jul 17 at 9:56
Shaun
7,41492972
answered Jul 17 at 9:56
Shaun
7,41492972
answered Jul 17 at 9:56
Shaun
7,41492972
answered Jul 17 at 9:56
Shaun
7,41492972
7,41492972
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
add a comment |Â
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
I will try , but can u please explain for me why it turn to a10=a6+4d ?
– Lydia Eviana
Jul 17 at 10:03
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Because $a_10$ is four $d$s away from $a_6$ and you need two equations in $d$ and $a_0$.
– Shaun
Jul 17 at 10:05
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Im not sure , I need more explaination , because I still in learning progress .
– Lydia Eviana
Jul 17 at 10:09
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
Okay i just understand that part .. I will try to continue it :) :)
– Lydia Eviana
Jul 17 at 10:11
add a comment |Â
Please ask one question at a time.
– Shaun
Jul 17 at 9:51
Do you know the general form of an arithmetic sequence? If so, do you know how to calculate the 6th and 10th term?
– Matti P.
Jul 17 at 9:51
After you ask a question here, if you get an acceptable answer, you should "accept" the answer by clicking the check mark $checkmark$ next to it. This scores points for you and for the person who answered your question. You can find out more about accepting answers here: How do I accept an answer?, Why should we accept answers?, What should I do if someone answers my question?.
– Shaun
Jul 17 at 10:15