Let S = 2 + 6/7 + 12/7² + 20/7... |JEE Main 2022 | Sequences

JEE MAIN 2022

27-6-2022 S2

Question

Let $S=2+\frac{6}{7}+\frac{12}{7^2}+\frac{20}{7^3}+\frac{30}{7^4}+\ldots$. then $4 S$ is equal to

Select the correct option:

A

$\left(\frac{7}{3}\right)^2$

B

$\frac{7^3}{3^2}$

C

$\left(\frac{7}{3}\right)^3$

D

$\frac{7^2}{3^3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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