10th term (g-4)^15

 
 
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

The binomial expansion is related to Pascal's triangle in which every row is related to the previous row by simple addition of terms. In the expansion of the binomial (a+b)^n the coefficients of consecutive terms are n, n(n-1)/2, n(n-1)(n-2)/6, ... n(n-1)(n-2)...(n-r+1)/1*2*...*r, where r is the general term. If n=15 and r=10, the coefficient is 3003. This is also the value of the combination function nCr and is the 10th term in the 15th row of Pascal's triangle. The variables a and b for the 10th term are a^r*b^(n-r). a=g and b=-4, so the 10th term is 3003g^10*(-4)^5=-3075072g^10. There is an ambiguity in stating the rth term, depending on whether r starts from 0 or 1. The coefficient for r=9 is 5005 and the other components will also be affected.

by Top Rated User (1.2m points)
edited by

9Tr+1 =    n^c^r (1st^ r) (2nd ^(n-r)     t9+1 =  15^c^9 (9^9)(-4)^(15-9)  =1586874328000


 

by

Related questions

1 answer
asked Sep 23, 2014 in Algebra 1 Answers by jackie | 582 views
1 answer
asked Sep 23, 2014 in Algebra 1 Answers by jackie | 629 views
1 answer
asked Sep 23, 2014 in Algebra 1 Answers by jackie | 690 views
1 answer
asked Sep 8, 2014 in Algebra 2 Answers by jackie | 520 views
1 answer
1 answer
1 answer
2 answers
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,279 answers
2,420 comments
732,184 users