SOLUTION: Find the 6th term of (-4a+3b)^13

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Question 1034947: Find the 6th term of (-4a+3b)^13
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Find the 6th term of (-4a+3b)^13
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  1-st term               2-nd term              3-rd term             4-th term             5-th term            6-th term

               


The 6-th term is   (the general formula is  ,  k = 0 (first term), 1 (the 2-nd term), 2 (the 3-rd term), . . . ).

Or, after simplifying,  =  =  = .


 =  =  = 1287  is the number of combination 13 things taken 5 at a time.


On combinations, see the lesson Introduction to Combinations in this site.


On binomial expansion see the lesson Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find the 6th term of (-4a+3b)^13
Use the formula for a specific term in a binomial expansion: 
, where r = term number

6th term of
6th term of
6th term of =
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