JEE Main · MathematicsMedium

$The value of the sum \sum_{r = 0}^{20} (- 1)^{r} (r 20) is equal to what?$

A. $1$
B. $- 1$
C. $0$
D. $2^{20}$

Show correct answer & step-by-step solution

Correct answer: C — $0$

Solution

The sum is the expansion of (1 - 1)^{20} by the binomial theorem. Since (1 - 1)^{20} = 0^{20} = 0, the sum is 0 .

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