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# CBSE Class 11-science Answered

Between 1 and 31, n numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7th and (n – 1)th numbers is 5 : 9. Find the value of n.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM Expert Answer

Let A1, A2, A3, …, An  be n arithmetic means between 1 and 31 and common difference be d.

Total number of terms = n + 2
First term = 1, last term = (n + 2)th term = 31  Thus, the number of inserted numbers is 14.
Answered by | 04 Jun, 2014, 03:23: PM

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