Which of the following is an arithmetic sequence?

Question

BlackTom AI · Accepted Answer

To identify an arithmetic sequence, I look for a constant difference between successive terms. 
Option a: 100, 81, 64, 49, 36, …, 9, 4, 1. Here the differences are -19, -17, -15, -13, which are not constant. The gap between terms changes each time, so this is not arithmetic. 
Option b: 1, 2, 6, 24, 120, …. The pattern jumps grow much faster than a fixed amount; the successive ratios are 2, 3, 4, 5, suggesting a factorial-like growth, not a constant difference. Therefore not arithmetic. 
Option c: 100, 98, 96, 94, 92, …, 4, 2, 0. Here each step decreases by 2: 100→98 is -2, 98→96 is -2, 96→94 is -2, 94→92 is -2, and the sequence continues down to 4, 2, 0. This constant difference confirms an arithmetic sequence. 
Option d: 1, 2, 4, 8, 16, 32, …. The numbers double each time, so the ratio is not 1 but 2; this is a geometric progression, not arithmetic. 
In summary, only option c exhibits a constant common difference between consecutive terms, which defines an arithmetic sequence.

FIT1058_S1_2025 Week 6 Pre-reading Quiz

Which of the following is an arithmetic sequence?

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