Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If P(k) = k²(k+3)(k²-1) is true, then what is P(k+1)?
Options
A (k+1)²(k+3)(k²-1)
B (k+1)²(k+4)k(k+2)
Correct Answer
C (k+1)²(k+4)(k²-1)
D (k+1)(k+4)k(k+2)
Correct Answer

Option B is the correct answer.

Detailed Explanation

P(k+1) = (k+1)²[(k+1)+3][(k+1)²-1] = (k+1)²(k+4)(k²+2k+1-1) = (k+1)²(k+4)(k²+2k) = (k+1)²(k+4)k(k+2).

Hint

Substitute k+1 into the expression and simplify.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 462 of 696
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