Question

How do I solve this question? It says determine the next 3 terms in each arithmetic sequence. -24, -14, -4,6

Answer 1

16, 26, 36

Explanation:

`a_1=-24\\a_2=-24+10=-14\\a_3=-14+10=-4\\a_4=-4+10=6\\\\\text{Add the common difference d = 10 to the previous term.}\\\\a_5=a_4+10\to a_5=6+10=16\\a_6=a_5+10\to a_6=16+10=26\\a_7=a_6+10\to a_7=26+10=36\\\vdots`

Answer 2

16 and 26 and 36 because each time you need to add 10