Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

In an AP, the sum of the first 20 terms is 420. If the first term is 5, find the common difference.
Options
A 32/19
Correct Answer
B 3
C 4
D 5
Correct Answer

Option A is the correct answer.

Detailed Explanation

S_n = n/2[2a + (n−1)d] → 420 = 20/2[10 + 19d] → 420 = 10[10+19d] → 42 = 10+19d → 19d=32 → d=32/19.

Hint

S_n = n/2[2a + (n−1)d].

Question Info