By the method of mathematic induction, the inequality 2n + 7 ≤ ( n + 3 ) 2 is true ?
For all n ∈ N
For all n < 1
Only when n is odd
Only when n is even
If x 3 > ( x2 + x + 2 ), then ?
x < 2
x ≥ 2
x > 2
x ≤ 2
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
If x > y > 0 where a > 1, then ?
log ax > log ay
logax < logay
logax ≥ logay
log ax = log ay
The solution of the inequality is.
( 2/3, 8 )
( -2, 8/3 )
The solution of the inequality 2x2 + x - 15 ≥ 0 is _______.
All possible two - factor products are from the digits 1,2,3,4, ...., 200. The number of factors out of the total obtained, which are multiples of 5, is _______.
8040
7180
6150
4040
The number 101 x 102 x 103 x 104 x ..... x 107 is divisible by ______.
4000
4050
5040
5050
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
If n is a positive integer, then n ( n2 - 1 ) ( n2 - 4 ) is divisible by _______.
4 x 5 x 6
5 x 6 x 7
2 x 4 x 6
3 x 4 x 5
