Question Detail

MTH 101 Arithmetic Progression Objective Question
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Question

Which conditions are sufficient to uniquely determine an arithmetic progression?
Options
A Knowing any two distinct terms and their positions
Correct Answer
B Knowing the first term and the common difference
C Knowing the sum of the first n terms for two different values of n
D Knowing only the arithmetic mean of the first two terms
Correct Answer

Option A is the correct answer.

Detailed Explanation

An AP has two independent parameters (a and d); two independent linear equations are sufficient to determine both uniquely, whereas a single mean provides only one equation.

Hint

No hint available

Question Info

Course: MTH 101
Topic: Arithmetic Progression
Type: Objective
Difficulty: Not specified
Question 693 of 696
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