1.

Consider the expansion of (2x-1)^(15)

Answer»

ALGEBRAICALLY least coefficient is `T_(5)`
Algebraically greatest coefficient is `T_(5)`
Numerically greatest coefficient is `T_(6)`
Numerically least coefficient is `T_(16)`

SOLUTION :`RLE(n+1)/(1+|(x)/(y)|)`
`rle(16)/(1+|(2x)/(-1)|)`
`rle(16)/(3)=5`
`impliesT_(6)` gives numerically greatest coefficient
`T_(6)= .^(15)C_(5)(-1)^(5)(2)^(10)(x)^(10)`
`N.G.C= .^(15)C_(5)(2)^(10)`
`N.I.C=1`
`A.L.C= .^(15)C_(4)(2)^(10)`
`A.G.C= .^(15)C_(4)(2)^(11)`


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