Mathematical Induction online Test


18
16
12
-10
In  if the ratio of  term from the beginning to the  term from the end is , then  ____.
None of the above
/
n
/
– 7
7
The coefficient of  in the expansion of  is ____.
6
12
10
18
In the expansion of ,the term independent of x is ____.
None of the above
It is possible to prove by induction that the power set of an ā€˜n’ element set has______ elements.
2n
2n-1
2n+1
None of the above
7n -1 is divisible by ______ for n=1,2,_______
4
5
6
None of the above
11n - 6 is divisible by -------- for n > 1
3
4
5
None of the above
3.5 2n+1 + 23n+1 is divisible by -------- for n> 1.
15
16
17
None of the above
2n > n3 for
n> 8
n > 10
n > 10
None of the above
2n + 2n+1+ -------+ 22n equals
2n+1 - 2n
2n+1 - 1
2n+2 - 2
22n+1 - 2n
12 + 2 2 + 3 2 + _______ + n2 equals
n(n+1)(2n+1)/6
n(n+1)(2n+1)/3
n(n+1)(2n+1)/8
None of the above
n ? r 3 = r=1
n2 (n + 1)2 / 4
n2 (n + 1)2 / 6
n2 (n + 1)2 / 8
None of the above
5 divides n5 – n when ever n is a ________
Negative integer
Non-Negative integer
Integer
None of the above
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