Math Homework Question! Help
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Math Homework Question! Help

[From: ] [author: ] [Date: 11-12-30] [Hit: ]
Happy holidays! :)-This websitewww.math.comhas all sort of help for solving problems of this sort.......
in the expansion of (1+3x)^n, in ascending powers of x, the third term is 252x^2. Find the positive integer value of n

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From the binomial expansion, the coefficient of the x^2 term will be

n! / ( 2! (n-2)! ) 3^2 = 252

Thus

n! / (n-2)! = 56

This is equivalent to writing

n(n-1) = 56, hence n=8

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From the binomial expansion, the coefficient of the x^2 term will be

n! / ( 2! (n-2)! ) 3^2 = 252

Thus

n! / (n-2)! = 56

This is equivalent to writing

n(n-1) = 56, hence n=8

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It's break....why are you doing homework! Haha just chill and enjoy your break, in other words, procrastinate! Happy holidays! :)

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This website www.math.com has all sort of help for solving problems of this sort.
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