If `5(n-3)=4(n-2)`, then the value of n is

If the sum of the series 1+(3)/(2)+(5)/(4)+(7)/(8)+……+((2n-1))/((2)^(n-1)) is f(n) , then the value of f(8) is

If n is a positive integer satisfying the equation 2+(6*2^(2)-4*2)+(6*3^(2)-4*3)+"......."+(6*n^(2)-4*n)=140 then the value of n is

If omega is a non-real complex cube root of unity and (5+3omega^2-5omega)^(4n+3)+(5omega+3-5omega^2)^(4n+3)+(5omega^2+3omega-5)^(4n+3)=0, then possible value of n is

If P(n ,4)=20xxP(n ,2), then find the value of n

If A=[(2,-4),(1,-1)] the value of A^n is (A) [(3^n,(-4)^n),(1,(-1)^n)] (B) [(3n,-4n),(n,n)] (C) [(2+n,5-n),(n,-n)] (D) none of these

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is (a) 5 (b) 6 (c) 8 (d) 10

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of n .

(i) If (n!)/(2.(n-2)!): (n!)/(4!.(n-4)!) = 2:1 , find the valye of n. (ii) If ((2n)!)/(3!(2n-3)!): (n!)/(2!(n-2)!) = 44:3 , then find the value of n.

if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27), find the value of n