Question Detail

MTH 101 Mathematical Induction Objective Question

Question

Prove by induction that 1² + 2² + 3² + ... + n² = n(n+1)(2n+1)/6 for n≥1 and find sum of squares of first 20 integers.
Options
A 2870
Correct Answer
B 2900
C 2850
D 2880
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use formula S_n = n(n+1)(2n+1)/6 → 20×21×41/6=2870.

Hint

Apply the proven formula.

Question Info