The value of ( 1 x 2 x 3 ) + ( 2 x 3 x 4 ) + ( 3 x 4 x 5 ) + ..... + n terms is ______.
If n > 1 and x ≠ 0. then expression ( 1 + x)n - nx -1 is divisible by _________.
x2
x3
x5
x7
If x > y > 0 where a > 1, then ?
log ax > log ay
logax < logay
logax ≥ logay
log ax = log ay
The statement P (n ): ( 1 x 1! ) + (2 x 2! ) + (3 x 3! ) + .... + ( n x n !) = ( n + 1 )! - 1' is _____.
True for all values of n > 1
Not true for any value of n
True for all values of n ∈ N
None of these
The total number of proper divisors of 38808 is _______.
80
70
60
50
P (n) = P (n + 1 ) for all natural number n, then P (n) is ture ?
For all n
For all n > 1
For all n > m
Nothing can be said
The expression 3 2n + 2 - 8n - 9 is divisible by 64 for all ______.
n ∈ N
n ∈ N, n < 2
n ∈ N n ≥ 2
n ∈ N, n > 2
The solution of the inequality is.
( 2/3, 8 )
( -2, 8/3 )
The unit digit in the number 7126 is ______.
1
3
9
5
If log2 7 = x, then x is ________.
An irrational number
A rational number such that 0 < x < 2
A prime number of the form 7n + 2
A rational number such that 2 < x < 3