Question Detail

MTH 101 Mathematical Induction Objective Question

Question

Prove by induction that 1 + 2 + 3 + ... + n = n(n+1)/2 for n≥1 and use it to find sum of first 50 integers.
Options
A 1275
Correct Answer
B 1250
C 1300
D 1270
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use formula S_n = n(n+1)/2 → 50×51/2=1275.

Hint

Apply the proven formula.

Question Info