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
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
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
The unit digit in the number 7126 is ______.
3
9
5
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
By the mathematical induction, the expression 11n+2 + 122n + 1 is divisible by _______.
133
124
114
113
By the method of mathematical 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 > -1, then the statement ( 1 + x ) n > 1 + nx is ture for ________.
All n < 1
All n > 1
All n ∈ N
All n > 1 provided x ≠ 0
The remainder, when number 599 is dividend by 13, is ______.
2
8
12
32
The solution of the inequality 2x2 + x - 15 ≥ 0 is _______.
