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Question

Find numerically the greatest term in the expansion of (43x)7 when x=23

A
14×46
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B
84×46
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C
280×44
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D
47
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Solution

The correct option is B 14×46
given expansion is (43x)7 when x=23
To find the numerically greatest term for the general expansion (x+y)n where x,y>0 and n is a natural number,
We need to find α=(n+1)yx+y,
Here α=8(23.3)4+2=2.67,
As α is not an integer the numerically greatest term is the integral part of α i.e., [α]=2,
t2=(71)462=14.46 is numerically greatest term.


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