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Algebra
Arithmetic Progressions
jee_main_2026_april_8_shift_2
Grade None

Question:

If the sum of the first n terms of an AP is S_n = 5n² + 2n, find the common difference.
A. 7
B. 8
C. 9
D. 10

Step-by-Step Solution

Key Concept: d = S_2 - 2S_1.
Step 1: S_1 = 5(1)² + 2(1) = 7. Step 2: S_2 = 5(4) + 2(2) = 20 + 4 = 24. Step 3: d = S_2 - 2S_1 = 24 - 14 = 10.
Correct Answer: D
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