Question
A series in G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio will be equal to
Answer: Option C
:
C
Let there be 2n terms in the given G.P. with first term a and the common ratio r.
Then, a r2−1(r−1) = 5a (r2−1)(r2−1)⇒ r + 1 = 5⇒ r = 4
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:
C
Let there be 2n terms in the given G.P. with first term a and the common ratio r.
Then, a r2−1(r−1) = 5a (r2−1)(r2−1)⇒ r + 1 = 5⇒ r = 4
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