Posted by **louise** on Sunday, July 31, 2011 at 2:49am.

find the 7th term of (x^3/2 y+b^2)^14

- algebra II -
**MathMate**, Sunday, July 31, 2011 at 4:06pm
(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

## Answer This Question

## Related Questions

- Advanced algebra - Find the 7th term of geometric progression if the second term...
- math - if 4th term of an arithmetic progression is 3 times the 1st term nd 7th ...
- maths - Given the G.P 05,0.005,0.0005.find the 7th term, find the sum of the 1st...
- Maths - The 3rd term of an AP is 10 more than the first term while the fifth ...
- math - how would i find the sum of the 7 term. if i have 1st term = 11 and 7th ...
- arithmetic - Determining the first three terms of an ArithmetiC progressionof ...
- maths - The sum of the 3rd and 7th term of an A.P is 38 and the 9th term is 37.....
- maths - The 4th term of an ap is 15 while the 7th term is 27, find the sum of ...
- new era - the third term of an AP is 5 while the 7th term is 13,find the 30th ...
- Core mathematics - The 4th term of an A.P.is 37 and the 6th term is 12 more than...

More Related Questions