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

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

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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
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