Advertisements
Advertisements
Question
The last term in the expansion of (3 + √2 )8 is:
Options
81
16
8
2
Solution
16
Explanation:
`(sqrt2)^8 = (2^(1/2))^8 = 2^4 = 16`
APPEARS IN
RELATED QUESTIONS
Evaluate the following using binomial theorem:
(999)5
Expand the following by using binomial theorem.
(2a – 3b)4
Find the middle terms in the expansion of
`(2x^2 - 3/x^3)^10`
The constant term in the expansion of `(x + 2/x)^6` is
Compute 97
Find the coefficient of x15 in `(x^2 + 1/x^3)^10`
Find the coefficient of x2 and the coefficient of x6 in `(x^2 -1/x^3)^6`
If n is a positive integer and r is a non-negative integer, prove that the coefficients of xr and xn−r in the expansion of (1 + x)n are equal
If a and b are distinct integers, prove that a − b is a factor of an − bn, whenever n is a positive integer. [Hint: write an = (a − b + b)n and expaand]
If the binomial coefficients of three consecutive terms in the expansion of (a + x)n are in the ratio 1 : 7 : 42, then find n
