1.

Sum of coefficients of expansion of B is 6561 . The difference of the coefficient of third to the second term in the expansion of A is equal to 117 . Ifn^(m) is divided by 7 , theremainder is

Answer»

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5

Solution :SINCE , sum of coefficient of B is 6561 .
` THEREFORE((5)/(2) + (1)/(2))^(N) = 6561`
` rArr 3^(n) = 6561rArr 3^(n) = 3^(8) `
` therefore n = 8 `
` n^(m) = 8^(6) = (1 + 7) ^(6) = (1 + 7K) `
Hence , remainder is 1 .


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