Question

Fill in the gaps in the arithmetic sequence -3, _ ,_ , _, _, _ 12

Answer 1

-0.5, 2, 4.5, 7, 9.5

Explanation:

The given terms are 6 apart, so the common difference is 1/6 of their difference:

d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5

Add 2.5 to each term to get the next one. Then the sequence is ...

-3, -0.5, 2.0, 4.5, 7.0, 9.5, 12