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The sum of the coefficients of the first 10 terms in the expan

Question

The sum of the coefficients of the first $10$ terms in the expansion of $(1 - x)^{- 3}$

220

286

120

150

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The sum of the coefficients of the first

10

terms in the expansion of

(1 - x)^{- 3}

7 mins ago

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7 mins ago

Text solutionVerified

For

(1 - x)^{- 3}

, the sum of the first r terms will be

^{n + r - 1} C_{n}

Replacing

n = 3

and

r = 10

in the above formula, we get

^{3 + 10 - 1} C_{3}

=^{12} C_{3}

= \frac{12.11.10}{3 !}

= \frac{12.11.10}{6}

= 2.11.10

= 220

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Question Text	The sum of the coefficients of the first $10$ terms in the expansion of $(1 - x)^{- 3}$
Answer Type	Text solution:1
Upvotes	150