If `2^(n-1)+2^(n+1)=3,` then `n` is equal to `0` b. `2` c. `-2` d. `-1`

If 2^(n+4)-2^(n+2)=3, then n is equal to a.0 b.2c.-2d.-1

If 2^(2n-1)=(1)/(8^(n-3)), then the value of n is a -2 b.2 c.0 d.3

If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' n ' is equal to 16 b. 23 c. 3 0 d. none of these

The total number of terms which are dependent on the value of x in the expansion of (x^(2)-2+(1)/(x^(2)))^(n) is equal to 2n+1 b.2n c.n d.n+1

If n in N>1, then the sum of real part of roots of z^(n)=(z+1)^(n) is equal to (n)/(2) b.((n-1))/(2) c.-(n)/(2) d.((1-n))/(2)

If S_(n)=sum_(r=1)^(n)(1+2+2^(2)+......+2^(r))/(2^(r)), then S_(n) is equal to (a)2^(n)n-1( b) 1-(1)/(2^(n))(c)2n-1+(1)/(2^(n))(d)2^(n)-1

If D_k=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

If y=ax^(n+1)+bx^(-n), then x^(2)(d^(2)y)/(dx^(2)) is equal to n(n-1)y(b)n(n+1)yny(d)n^(2)y

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these