If n > 1 and x ≠ 0. then expression ( 1 + x)n - nx -1 is divisible by _________.
x2
x3
x5
x7
If x 3 > ( x2 + x + 2 ), then ?
x < 2
x ≥ 2
x > 2
x ≤ 2
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
The number 101 x 102 x 103 x 104 x ..... x 107 is divisible by ______.
4000
4050
5040
5050
The sum of all positive divisors of 960 is _____.
3048
2688
2248
1880
The solution of the inequality 2x2 + x - 15 ≥ 0 is _______.
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
The remainder, when number 599 is dividend by 13, is ______.
2
8
12
32
If equation (5 + 2 √6)n = i + f, Where i ∈ N, 0 < f < 1, then value of ( i + f ) ( 1 - f) is ______.
0
1
72n
22n
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
