Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

The first term of an AP is 5, the last term is 45, and the sum of all terms is 400. Find the number of terms.
Options
A 16
Correct Answer
B 15
C 18
D 20
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using S_n = (n/2)(a + l), we have 400 = (n/2)(5 + 45) = 25n, which gives n = 16.

Hint

No hint available

Question Info