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 second term of the expansion [a^((1)/(13))+(a)/(sqrt(a^(-1)))]^(n) is 14a^(5/2), then the value of (^nC_(3))/(^nC_(2)) is.

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

If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^(5/2) and the value of ( ^nC_3)/("^nC_2) = lambda then lambda is

If the second term in the expansion of (root(13)(a)+ (a)/(sqrt(a^(-1))))^(n) is 14a^(5//2) " then value of " (""^(n)C_(3))/(""^(n)C_(2)) is

Determine the value of n if ^(n)C_3: ^nC_2=5:1 .

If the middle term in the expansion of (1 + x)^(2n) is (1.3.5…(2n - 1))/(n!) k^(n).x^(n) , the value of k is

Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (2n-1))/n(-2)^n .