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Algebra
Arithmetic Progressions
jee_main_2026_jan_22_shift_1
Grade None

Question:

If the sum of the first n terms of an AP is S_n = 4n² + 3n, find the common difference.
A. 4
B. 6
C. 8
D. 10

Step-by-Step Solution

Key Concept: d = S_2 - 2S_1.
Step 1: S_1 = 4(1)² + 3(1) = 7. Step 2: S_2 = 4(4) + 3(2) = 16 + 6 = 22. Step 3: d = S_2 - 2S_1 = 22 - 14 = 8.
Correct Answer: C
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