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Question

The greatest term in the expansion of 3(1+13)20 is

A
20C827
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B
20C727
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C
20C927
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D
20C627
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Solution

The correct option is B 20C727
Let (r+1)th term be the greatest term in the expansion of (1+13)20.
So, Tr+1Tr=20r+1r(13)1
20r+13r
21r(3+1).
r213+1
r7.686
So, the greatest term occurs when r=7.
Hence, the greatest term in 3(1+13)20 is
T8=3 20C7(13)7= 20C727

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