If sum of the infinite G.P. $p + 1 + \frac{1}{p} + \frac{1}{{{p^2}}} + .....,\,\left( {p > 2} \right)$ is $49/6,$ then sum of the 3rd term and the 4th term of the G.P. is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

If sum of the infinite G.P.

p + 1 + \frac{1}{p} + \frac{1}{{{p^2}}} + .....,\,\left( {p > 2} \right)

49/6,

then sum of the 3rd term and the 4th term of the G.P. is

View answer and explanation

Correct option: A

\frac{8}{49}

Option A (8/49) is correct because by finding the value of p and then calculating the 3rd and 4th terms, their sum is 8/49.

Practice All Chapter MCQs →

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(B \cup C)-A

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\frac{3}{4}