Asked by Vijay
Find the sum of n' arithmetic means between x and 3x.
Answers
Answered by
Steve
If there are n means, then [x,3x] is divided into n+1 intervals.
Thus, you have an arithmetic sequence where
a = x
d = (3x-x)/(n+1) = 2x/(n+1)
x, x + 2x/(n+1), x + 4x/(n+1), ... x + 2nx/(n+1), x + 2(n+1)x/(n+1)
= x, (n+3)/(n+1) x, (n+5)/(n+1) x, ... 3(n+1)/(n+1) x
Thus, you have an arithmetic sequence where
a = x
d = (3x-x)/(n+1) = 2x/(n+1)
x, x + 2x/(n+1), x + 4x/(n+1), ... x + 2nx/(n+1), x + 2(n+1)x/(n+1)
= x, (n+3)/(n+1) x, (n+5)/(n+1) x, ... 3(n+1)/(n+1) x
Answered by
Kamal Singh Dangi
Good
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.