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Suppose a1,a2,…are in A.P. If a8 : a5=3 : 2, a17 : a23 is

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a

1 : 2

b

3 : 4

c

4 : 11

d

8 : 11

answer is B.

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Detailed Solution

Let a be the first term and d be the commondifference of the A.P. a1, a2, a3,… Then 32=a8a5=a+7da+4d⇒ 3a+12d=2a+14d⇒a=2dNow, a17a23=a+16da+22d=2d+16d2d+22d=1824=34

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