CBSE Class 11-science Answered
There are n arithmetic means between 3 and 17. The ratio of last mean to the first mean is 3:1. Find the value of n.
Asked by rushabhjain.avv | 19 Nov, 2018, 09:41: PM
Expert Answer
Let d be the common difference.
If the ratio between last arithmetic mean to first arithmetic mean is 3:1.then we have, 17-d = 3×(3+d) ........(1)
eqn.(1) gives d = 2.
If there are are n arithmetic means between 3 and 17, then (n+2)th term is given by, tn+2 = 3 + (n+1)×2 = 17 ...........(2)
By solving eqn.(2), we get n = 6
Answered by Thiyagarajan K | 19 Nov, 2018, 10:26: PM
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