SOLUTION: find the fifth term of the binomial expansion (x+y)^7

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Question 1144258: find the fifth term of the binomial expansion (x+y)^7
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

1-st term is   = .


2-nd term is   = .


3-rd term is   = .


4-th term is   = .


5-th term is   = .     ANSWER


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    - Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion
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"Binomial expansion, binomial coefficients, Pascal's triangle".


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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the fifth term of the binomial expansion (x+y)^7
=====================
Pascal's Triangle is reasonable for the 7th power:
1    2    1
1    3    3    1
1    4    6    4    1
1    5   10   10    5    1
1    6   15   20   15    6    1
1    7   21   35   35   21    7    1

---------------
The coefficient is 35
--->
===================================
I could have started at 1 4 6 4 1 since I know 11^4 = 14641.
I wouldn't use Pascal's Triangle for exponents greater than 8 or 9, unless directed to do so.
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