JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

Let

a_1=1, a_2=1+a_1, a_3=1+a_1 a_2, \ldots, a_{n+1}=1+

a_1 a_2 \ldots a_n

. Then

\sum\limits_{{n=1}}^{=} \frac{1}{a_n}=

View answer and explanation

Correct option: C

Option C (2) is correct because the infinite sum of the reciprocals of the recursively defined sequence converges to 2.

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\frac{3}{4}