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General Term of Binomial Expansion

Find the sum ...

Question

Find the sum of coeffecients in the expansion of the binomial ${(5 p - 4 q)}^{n}$ , where $n$ is a positive integer

A

0

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B

1

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C

-1

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D

2

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Solution

The correct option is B 1
To get the sum of coefficients put $p = 1, q = 1$
Hence sum of the coefficient in the expansion of $(5 p - 4 q)^{n}$ is $= (5 - 4)^{n} = 1^{n} = 1$

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