JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

Let

\left\{a_n\right\}_{n=0}^{\infty}

be a sequence such that

a_0=a_1=0

and

a_{n+2}=2 a_{n+1}-a_n+1

for all

n \geq 0

.
Then

\sum\limits_{n=2}^{\infty} \frac{a_n}{7^n}

is equal to :

View answer and explanation

Correct option: B

\frac{7}{216}

Option B (

\frac{7}{216}

) is correct because it is the result of solving the recurrence relation and summing the infinite series.

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\frac{3}{4}