Question

Which of the following represents an arithmetic sequence?



The temperature rises one degree the first hour, 2 degrees the second hour, 4 degrees the third, and so on.

The temperature rises two degrees the first hour, another two degrees the second hour, and so on.

The temperature rises by one degree the first hour and then falls two degrees the second hour.

The temperature rises and falls at different rates during the day.

Answer 1

you see geometric sequence, when the (rate of) change is not the same. When you add a different number every time.

For it to be an arithmetic sequence, you would need to be adding the same number every time.

Answer 2

Arithmetic sequence (adding positive/negative [real] number every time).
Geometric sequence (multiplying by any (same,) [real] number every time).

Answer 3

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