Question

Given the following three sequences:

1. 2, 4, 6, 8, 10.
II. 2, 4, 8, 16, 32.
III. a, a + 2, a + 4, a + 6, a + 8..
Which ones are arithmetic sequences?

Answer 1

Options one and three

Explanation:

A arithmetic sequence is a sequence of numbers or letters that increase or decrease the same amount. In this case options "one and three" are arithmetic sequences because the amount they increase by stays the same while in option two the increase goes from 2 to 8. To find a arithmetic sequence just find the rule of the set of numbers and if the numbers increase or decrease stays the same then it's a arithmetic sequence.

`2, 4, 6, 8, 10`

`Rule =2`

`2, 4, 8, 16, 32`

`a, a + 2, a + 4, a + 6, a + 8`

`Rule=2`

Hope this helps.