Question Detail

MTH 101 Arithmetic Progression Objective Question
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Question

Find the 10th term of an AP whose sum of first 10 terms is 200 and first term is 8.
Options
A 32
Correct Answer
B 35
C 28
D 30
Correct Answer

Option A is the correct answer.

Detailed Explanation

S_10 = 10/2[2a + 9d] = 200 → 5[16+9d]=200 → 16+9d=40 → 9d=24 → d=8/3≈2.667. t_10=a+9d=8+9×(8/3)=8+24=32.

Hint

First find d from sum formula, then t_n.

Question Info

Course: MTH 101
Topic: Arithmetic Progression
Type: Objective
Difficulty: Not specified
Question 42 of 696
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