Q.
If in the expansion of (a−2b)n,the sum of 4th and 5th term is zero, then the value of ab is
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a
n−45
b
n−32
c
5n−4
d
52(n−4)
answer is B.
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Detailed Solution
Here,T4=nC3(a)n−3(−2b)3and T5=nC4(a)n−4(−2b)4Given T4+T5=0⇒ nC3(a)n−3(−2b)3+nC4(a)n−4(−2b)4=0⇒ (a)n−4(−2b)3anC3+nC4(−2b)=0⇒ ab=2nC4 nC3=2⋅n(n−1)(n−2)(n−3)4⋅3⋅2⋅1×3⋅2⋅1n(n−1)(n−2)=n−32
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