The coefficient of t24 in (1+t²)12(1+t12)(1+24) is

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gud question hemant ....


please check the solution of it 


Multiplying the last two expressions we have to find coefficient of t24in (1+t²)12(1+t12+24

t24 term will come as a sum of three terms in the expanded expression

1st term is t24 term in 1st expression multiplied by 1 in the second expression.
2nd term is t12 term in 1st expression multiplied by t12 term in the second expression.
3rd term is 1 in the first expression multiplied by t24 term in the second expression.

Coefficients of 1 and 3 terms are 1 and 1.

Coefficient of 2 term = coefficient t12 term in 1 st expression which is (1+t²)12

7th term or 6+1th term in the expansion will have t12 term

Hence coefficient of 7th term = 12C6

Therefore coefficient of t24 term will be

12C6 + 2 ...Answer...


 i think we are at solutions....

3 years ago

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