If P(k) = k2 (k + 3) (k2 1) is true, then what is P(k + 1)? – McqOptions

MCQOPTIONS

1.	If P(k) = k² (k + 3) (k² 1) is true, then what is P(k + 1)?
A.	(k + 1)<sup>2</sup> (k + 3) (k<sup>2</sup> 1)
B.	(k + 1)<sup>2</sup> (k + 4) (k<sup>2</sup> 1)
C.	(k + 1)<sup>2</sup> (k + 4) k (k + 2)
D.	(k + 1) (k + 4) k (k +2)
Answer» D. (k + 1) (k + 4) k (k +2)

Discussion

No Comment Found

Related MCQs

What will be P(k + 1) for P(n) = n<sup>3</sup> (n + 1)?
State whether the following series is true or not.<br>1 + 2 + 3 + ..+ n = ( frac{n(n + 1)}{2} )
n<sup>3</sup> + 5n is divisible by which of the following?
n<sup>2</sup> + 3n is always divisible by which number, provided n is an integer?
If P(k) = k<sup>2</sup> (k + 3) (k<sup>2</sup> 1) is true, then what is P(k + 1)?
What would be the hypothesis of mathematical induction for n(n + 1) < n! (where n 4) ?
P(n) = n(n<sup>2</sup> 1). Which of the following does not divide P(k+1)?
If 10<sup>3n</sup> + 2<sup>4k + 1</sup>. 9 + k, is divisible by 11, then what is the least positive value of k?
By principle of mathematical induction, 2<sup>4n-1</sup> is divisible by which of the following?
7<sup>2n</sup> + 2<sup>2n 2</sup> . 3<sup>n 1</sup> is divisible by 50 by principle of mathematical induction.