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Algebra
Arithmetic Progressions
jee_main_2026_april_5_shift_1
Grade 12

Question:

If the sum of the first n terms of an AP is S_n = 3n² + 2n, find the common difference.
A. 2
B. 3
C. 4
D. 6

Step-by-Step Solution

Key Concept: d = S_2 - 2S_1.
Step 1: S_1 = 3(1) + 2 = 5. Step 2: S_2 = 3(4) + 2(2) = 12 + 4 = 16. Step 3: d = S_2 - 2S_1 = 16 - 10 = 6.
Correct Answer: D
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