Question 1144258
find the fifth term of the binomial expansion (x+y)^7
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Pascal's Triangle is reasonable for the 7th power:
<pre>
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
</pre>
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The coefficient is 35
---> {{{35x^3y^4}}}
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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.