The Sum 1 + 2·3 + 3·3²....... | JEE Main 2022 | Sequences

JEE MAIN 2022

25-06-2022 S2

Question

The sum $1+2 \cdot 3+3 \cdot 3^2+\ldots \ldots+10 \cdot 3^9$ is equal to

Select the correct option:

A

$\frac{2 \cdot 3^{12}+10}{4}$

B

$\frac{19 \cdot 3^{10}+1}{4}$

C

$5 \cdot 3^{10}-2$

D

$\frac{9 \cdot 3^{10}+1}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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