Advertisements
Advertisements
Question
Choose the correct alternative:
The remainder when 3815 is divided by 13 is
Options
12
1
11
5
Advertisements
Solution
12
APPEARS IN
RELATED QUESTIONS
Evaluate the following using binomial theorem:
(999)5
Find the 5th term in the expansion of (x – 2y)13.
Find the term independent of x in the expansion of
`(x^2 - 2/(3x))^9`
Find the term independent of x in the expansion of
`(x - 2/x^2)^15`
Find the term independent of x in the expansion of
`(2x^2 + 1/x)^12`
Prove that the term independent of x in the expansion of `(x + 1/x)^(2n)` is `(1*3*5...(2n - 1)2^n)/(n!)`.
The last term in the expansion of (3 + √2 )8 is:
Sum of the binomial coefficients is
Expand `(2x^2 - 3/x)^3`
Expand `(2x^2 -3sqrt(1 - x^2))^4 + (2x^2 + 3sqrt(1 - x^2))^4`
Compute 994
Find the coefficient of x2 and the coefficient of x6 in `(x^2 -1/x^3)^6`
If n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of (x + y)n are equal
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
