Question Detail

MTH 101 Arithmetic Progression Objective Question
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Question

Which statements are universally true for any AP with first term a and common difference d != 0?
Options
A The graph of T_n versus n is linear
Correct Answer
B The sequence is strictly monotonic
C The sum S_n is a quadratic function of n with zero constant term
D The product of consecutive terms is always positive
Correct Answer

Option A is the correct answer.

Detailed Explanation

T_n is linear in n, non-zero d guarantees strict increase or decrease, and S_n = (d/2)n^2 + (a - d/2)n has no constant term. The product of terms can be negative.

Hint

No hint available

Question Info

Course: MTH 101
Topic: Arithmetic Progression
Type: Objective
Difficulty: Not specified
Question 679 of 696
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