Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The sum of the first n odd numbers is?
Options
A n(n-3)
B n²
Correct Answer
C 2n
D n(n+1)/2
Correct Answer

Option B is the correct answer.

Detailed Explanation

The first n odd numbers are 1, 3, 5, ..., (2n-1). Their sum is n². This can be proven by mathematical induction or by the formula for arithmetic series: sum = n/2 × (first + last) = n/2 × (1 + 2n-1) = n/2 × 2n = n².

Hint

This is a well-known formula in mathematics.

Question Info