# Write the Sum of the Series 2 + 4 + 6 + 8 + ... + 2n. - Mathematics

Write the sum of the series 2 + 4 + 6 + 8 + ... + 2n.

#### Solution

$S_n = 2 + 4 + 6 + 8 + . . . + 2n$

$= \frac{n}{2}\left[ 4 + \left( n - 1 \right)2 \right]$

$= \frac{n}{2}\left[ 2 + 2n \right]$

$= n\left[ n + 1 \right]$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 21 Some special series
Q 1 | Page 18