1.

If 3, 5, 7,… is an A.P., determine the common ratio if its 5th, 16th, 49th term are in G.P.1). 22). 33). 44). 5

Answer»

For the given A.P.,

First term, a = 3 and common difference, d = 2

The nth term = a + (N – 1) d

5th term = 3 + 4 × 2 = 11

16th term = 3 + 15 × 2 = 33

49th term = 3 + 48 × 2 = 99

Hence, the G.P. is 11, 33, 99

Since, G.P. is of the form a, AR, ar2

Hence the common RATIO, r = 33/11 = 3


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