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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 3n² + 4n, find the 8th term.
A. 43
B. 46
C. 49
D. 52

Step-by-Step Solution

Key Concept: T_n = S_n - S_{n-1}.
Step 1: S_8 = 3(64) + 4(8) = 192 + 32 = 224. Step 2: S_7 = 3(49) + 4(7) = 147 + 28 = 175. Step 3: T_8 = 224 - 175 = 49.
Correct Answer: C
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