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Find the specified nth term in the expansion of the binomial.
(x - 10z)^7, n = 5
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They want you determine the 5-th term in the binomial expansion
= .
+------------------------------------------------------------------+
| The 5-th term is at k=4 (be attentive and notice it: |
| you should take k=4, NOT k=5 (!) --- BECAUSE the counter |
| k goes from k = 0) and is equal to |
+------------------------------------------------------------------+
= = .
So the 5-th term is . ANSWER
Solved.
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See the lessons
- Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion
- Remarkable identities for Binomial Coefficients
- The Pascal's triangle
- Solved problems on binomial coefficients
in this site.
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- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic
"Binomial expansion, binomial coefficients, Pascal's triangle".
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