68789
AssignmentMultiple Select

Recognizing Patterns

Question 68789 • 26.27 TCEC ALGEBRA 1.1

Which sequences are arithmetic? Check all that apply.–5, 5, –5, 5, –5, …96, 48, 24, 12, 618, 5.5, –7, –19.5, –32, …–1, –3, –9, –27, –81, …16, 32, 48, 64, 80

Answer
A
–5, 5, –5, 5, –5, …
B
96, 48, 24, 12, 6
C
18, 5.5, –7, –19.5, –32, …
D
–1, –3, –9, –27, –81, …
E
16, 32, 48, 64, 80

Explanation

An arithmetic sequence has the same difference between every pair of consecutive terms. In C, each term decreases by 12.5: 5.5 − 18 = −12.5, and −7 − 5.5 = −12.5; the later differences match too. In E, each term increases by 16. The other sequences do not have a constant difference.

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