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
A student was asked to prove a statement P (n) by method of induction. He proved that P (3 ) is true such that P (n) = P (n + 1 ) for all ______.
n ∈ N
n ≥ 3
n ∈ I
n < 3
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 solution of the inequality is.
( 2/3, 8 )
( -2, 8/3 )
By the mathematical induction, the expression 11n+2 + 122n + 1 is divisible by _______.
133
124
114
113
The remainder, when number 599 is dividend by 13, is ______.
2
8
12
32
The total number of proper divisors of 38808 is _______.
80
70
60
50
The value of ( 1 x 2 x 3 ) + ( 2 x 3 x 4 ) + ( 3 x 4 x 5 ) + ..... + n terms is ______.
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
