Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

If the 7th term of an arithmetic progression is 40, what is the sum of its first 13 terms?
Options
A 520
Correct Answer
B 480
C 540
D 500
Correct Answer

Option A is the correct answer.

Detailed Explanation

The sum is S_13 = (13/2)[2a + 12d] = 13(a + 6d). Since T_7 = a + 6d = 40, S_13 = 13 * 40 = 520.

Hint

No hint available

Question Info