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`

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

Find n , if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (root(4)2 +1/(root(4)3 ))^n is sqrt(6): 1.

Find the r^th term from the end in the expansion of (x + a)^n .

If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then find the value of ndot

find the 10th term of the AP : 5,1,-3,7,……

Find the (i) 30th term of the AP 10,7,4,…. (ii) 11th term fo the AP: -3, -1/2, 2 …….

If the 20th term of a H.P. is 1 and the 30th term is -1/17, then find its largest term.

Find the sum to n terms of the series in whose n^(th) terms is given by (2n-1)^2

Find the 20th term from the end of the AP:3, 8, 13, ..., 253.