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Evaluate the Following: 10 ∑ N = 2 4 N - Mathematics

Evaluate the following:

\[\sum^{10}_{n = 2} 4^n\]

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Solution

\[\sum^{10}_{n = 2} 4^n = 4^2 + 4^3 + 4^4 + . . . + 4^{10} \]

\[ = 16 + 64 + 256 + . . . + 4^{10} \]

\[ = 16\left( \frac{4^9 - 1}{4 - 1} \right) = \frac{16}{3}\left( 4^9 - 1 \right)\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 20 Geometric Progression
Exercise 20.3 | Q 3.3 | Page 28
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