If the last tem in the binomial expansion of `(2^(1/3)-1/(sqrt(2)))^n i s(1/(3^(5/3)))^(log_3 8)` , then 5th term from the beginning is `210` b. `420` c. `105` d. none of these

The last term in the expansion (2+sqrt3)^(8) is …………

The last term in the expansion (2+sqrt(3))^(8) is ………..

The sum of the rational terms in the expansion of (sqrt(2) + 3^(1/5))^(10) is

If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is 14 a^(5//2) , then the value of (^n C_3)/(^n C_2) is.

If the 6th term in the expansion of (1/(x^(8/3))+x^2(log)_(10)x)^8 is 5600, then x equals

If the 4th term in the expansion of (a x+1//x)^n is 5/2, then (a) a=1/2 b. n=8 c. a=2/3 d. n=6

Prove that the coefficient of x^n in the expansion of 1/((1-x)(1-2x)(1-3x))i s1/2(3^(n+2)-2^(n+3)+1)dot

Ratio of the 5^(th) term from the beginning to the 5^(th) term from the end in the binomial expansion of (2^(1//3)+(1)/(2(3)^(1//3)))^(10) is

In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginning to the 7th term from the end is 1/6, then find the value of ndot

The sixth term in the expansion of ( sqrt(2^(log(10-3^x))) + (2^((x-2)log3))^(1/5))^m is equal to 21, if it is known that the binomial coefficient of the 2nd 3rd and 4th terms in the expansion represent, respectively, the first, third and fifth terms of an A.P. (the symbol log stands for logarithm to the base 10) The value of m is