Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If P(n) is the statement 1+2+...+n = n(n+1)/2, what is P(1)?
Options
A 1=1
Correct Answer
B 1=2
C 1+2=3
D n=1
Correct Answer

Option A is the correct answer.

Detailed Explanation

P(1) means substitute n=1 into the statement: 1 = 1(1+1)/2 = 1×2/2 = 1. So the statement becomes 1 = 1, which is true.

Hint

Substitute n=1 into the given formula.

Question Info