which sequences are arithmetic?. - 5, 5, - 5, 5, - 5, ... 96, 48, 24, 12, 6 18, 5.5, - 7, - 19.5, - 32, ... - 1, - 3, - 9, - 27, - 81, ... 16, 32, 48, 64, 80

Question

Astro

Mathematics

25 November, 04:36

which sequences are arithmetic?. - 5, 5, - 5, 5, - 5, ... 96, 48, 24, 12, 6 18, 5.5, - 7, - 19.5, - 32, ... - 1, - 3, - 9, - 27, - 81, ... 16, 32, 48, 64, 80

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Answers (2)

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Gavin Chapman · Answer 1

-5, 5, - 5, 5, - 5, ... : The differences between terms vary. Not arithmetic.

96, 48, 24, 12, 6 : The differences between terms vary. Not arithmetic.

18, 5.5, - 7, - 19.5, - 32, ... : The difference between terms is always - 12.5. Arithmetic.

-1, - 3, - 9, - 27, - 81, ... : The differences between terms vary. Not arithmetic.

16, 32, 48, 64, 80 : The difference between terms is always 16. Arithmetic.

Answer: The third and fifth choices are arithmetic sequences.

Keith Roy · Answer 2

16, 32, 48, 64, 80 is an arithmetic sequence.

In an arithmetic sequence, the difference between the consecutive terms is constant. In this case, the difference between each term is 16; this means 16 is added to each term to get the following term.