Question

The sum of the first \( n \) terms of an arithmetic progression is \( 3n^2 + 5n \). What is the first term of the series?

• A. 2
• B. 5
• C. 8
• D. 11

Hint:

For AP sum formulas, the first term is found by substituting \( n = 1 \).

Answer 1

The Correct Option is C

Sum of first \( n \) terms, \( S_n = 3n^2 + 5n \). 
First term = \( S_1 = 3(1)^2 + 5(1) = 3 + 5 = 8 \). 
Thus, the answer is 8.