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The largest term in the expansion of ((...

The largest term in the expansion of `((b)/(2) + (b)/(2))^(100) ` is

A

`b^(100)`

B

`((b)/(2))^(100)`

C

`""^(100)C_(50)((b)/(2))^(100)`

D

`""^(100)C_(50)b^(100)`

Text Solution

Verified by Experts

The correct Answer is:
c
Here, n = 100 , so the total number of terms is 101.
` therefore ` Largest term = Middle term = 51th term
`= ""^(100)C_(50) ((b)/(2))^(50) ((b)/(2))^(50) = ""^(100)C_(50)((b)/(2))^(100)` .
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