Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If P(k) = k(k+3)(k-1) is true, then what is P(k+1)?
Options
A (k+1)(k+4)(k)
Correct Answer
B (k+1)²(k+4)(k+2)
C (k+1)²(k+4)(k-1)
D (k+1)(k+4)(k+2)
Correct Answer

Option A is the correct answer.

Detailed Explanation

P(k+1) = (k+1)[(k+1)+3][(k+1)-1] = (k+1)(k+4)(k).

Hint

Substitute k+1 into the expression.

Question Info