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K th Arithmetic mean of a sequence of A.P = , Where n is total number of A.M's b/w a and b . Here, a = 1 , b = 31 and n = m A/Q, 7th A.M : (m-1)th A.M = 5:9 or, or,

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In an arithmetic series, we have n terms, or m+2 terms as in :

We have m = (n - 2) arithmetic means. The common difference is

d = 30/15 = 2 The arithmetic series is 1, 3, 5, 7 ,... 27, 29, 31 There are totally 16 terms in this series. There are 14 arithmetic means in between 1 and 31.