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Question

The two successive terms in the expansion of (1+x)24 whose coeff are in ratio 1:4 are

A
3rd and 4th
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B
4th and 5th
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C
4th and 6th
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D
6th and 7th
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Solution

The correct option is B 4th and 5th
Solution:
We know that in the coefficient of rth term in expansion of (1+x)n=nCr1
Let two successive terms of expansion (1+x)24 are Tr and Tr+1.
And
TrTr+1=14
or, r+124r=14
or, 4r+4=24r
or, 5r=20
or, r=4
Hence, two successive terms are 4th and 5th.
Hence, B is the correct option.

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