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Binomial Theorem for Any Index

If the coeffi...

Question

If the coefficient of (2r + 4)th term is equal to the coefficient of (r – 2)th term in the expansion of $(1 + x)^{18}$ then r =

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Solution

The correct option is A
1

Coefficient of (2r + 1)th term = Coefficient of (4r + 5)th term $\Rightarrow^{10} C_{2 r} =^{10} C_{4 r + 4} \Rightarrow 2 r + 4 r + 4 = 10 \Rightarrow 6 r = 6 =\Rightarrow 1$

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