Algebra
Arithmetic Progressions, Sum of Series
jee_main_2026_april_8_shift_2
Grade None
Question:
The sum of the first 15 terms of the AP: 2, 6, 10, 14, ... is:
Step-by-Step Solution
Key Concept: S_n = n/2[2a + (n-1)d].
Step 1: S_15 = 15/2[2(2) + (15-1)4] = 15/2[4 + 56] = 15/2 × 60 = 15 × 30 = 450.
Correct Answer: 450
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