Consider the binomial expansion of (1+7X)^23 in accending powers of x. Find the greatest numerical coefficient of  the expansion and the terms of the  expansion corresponding to it.



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Posted on (Answer #1)

`(1+7x)^23=sum_{r=0}^23 7^r C(23,r)x^r`

We have to find r such that


`and `


from these inequality

we have  `20<r<21`

Thus greatest coefficient is


and term is




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