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the greatest coefficient in the exapansion of (1+x)^2n+2

the greatest coefficient in the exapansion of (1+x)^2n+2

Grade:12

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
6 years ago

HI Student,

The cofficient of middle term is greatest for an expansion in the form of (1+x)n . If n is odd there are even terms there will be 2 middle terms and if n is even there will be odd terms and there will be 1 middle term. Hence in the the above expression power is even middle term will be 2n+2Cn+1. This is the greatest coefficient,

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