Question Detail

MTH 101 Arithmetic Progression Objective Question
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Question

For the arithmetic progression 100, 96, 92, ..., which statements are correct?
Options
A The common difference is -4
Correct Answer
B The 26th term is 0
C The 27th term is the first negative term
D The maximum sum of terms occurs at n = 25 and n = 26
Correct Answer

Option A is the correct answer.

Detailed Explanation

Here a = 100 and d = -4. T_26 = 100 + 25(-4) = 0, T_27 = -4, and adding 0 to S_25 leaves S_26 equal to S_25, both achieving the maximum.

Hint

No hint available

Question Info

Course: MTH 101
Topic: Arithmetic Progression
Type: Objective
Difficulty: Not specified
Question 689 of 696
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