Posted by louise on Sunday, July 31, 2011 at 2:49am.
(x^3/2 y+b^2)^14
The coefficient of the ith term (i starts from zero) of a binomial expansion raised to the nth power is given by:
n!/[(n-i)!i!]
So the ith term (i=0,1,2,...) is given by:
n!/[n-i]!i!] * (x^(3/2)y)^(n-i)*b^(2i)
For n=14, and i=7 (the middle term):
T7=3432(x^(3/2)y)^7*b^14
=3432x^(21/2)y^7b^14
Related Questions
maths - Given the G.P 05,0.005,0.0005.find the 7th term, find the sum of the 1st...
math - how would i find the sum of the 7 term. if i have 1st term = 11 and 7th ...
Maths - The 3rd term of an AP is 10 more than the first term while the fifth ...
arithmetic - The 8th term of an A P is 5times the third term while the 7th term ...
Core mathematics - The 4th term of an A.P.is 37 and the 6th term is 12 more than...
arithmetic - use the geometric mean to find the 7th term in a geometric sequence...
arthmetic - in an arthmetic progression or series,the 13th term is 27 and the ...
Further maths - The 7th term of an A.p is 20 and the 13th term is 38 find the ,1...
Further maths - The 7th term of an A.p is 20 and the 13th term is 38 find the ,1...
math - The 8th term of ap is 5time the 3rd term, while the 7th term is greater ...
For Further Reading
