Let {aₙ} Be a Sequence Such That... |JEE Main 2022| Sequence

JEE MAIN 2022

29-06-22 S1

Question

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, $\sum_{n-2}^{\infty} \frac{a_n}{7^n}$ is equal to-

Select the correct option:

$\frac{6}{343}$

$\frac{7}{216}$

$\frac{8}{343}$

$\frac{49}{216}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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