Math miscellaneousMedium
Question
If a1, a2, ......., a2n+1 are in G.P., then 
is equal to (where each ai > 0) -
is equal to (where each ai > 0) -Options
A.a1 + a2 + ..... + a2n-1
B.a2 + a4 + ..... + a2n
C.
D.
Solution
Let r be common ratio
= √r(a1 + a3 + .....+a2n-1) .........(i)
= √2(a2 + a4 + ...... + a2n) ........(ii)
Dividing (i) by (ii)
= √r(a1 + a3 + .....+a2n-1) .........(i)
= √2(a2 + a4 + ...... + a2n) ........(ii)
Dividing (i) by (ii)
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