Algebra
Arithmetic Progressions
jee_main_2026_april_4_shift_1
Grade 12
Question:
If the sum of the first n terms of an AP is 2n^2 + 3n, find the 5th term.
Step-by-Step Solution
Key Concept: T_n = S_n - S_{n-1}.
Step 1: S_5 = 2(25) + 3(5) = 50 + 15 = 65. Step 2: S_4 = 2(16) + 3(4) = 32 + 12 = 44. Step 3: T_5 = 65 - 44 = 21.
Correct Answer: 21
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