Find the next two terms of each sequence
15, 7,-1, -9
keep subtracting 8
7 - 15 = - 8
- 1 - 7 = - 8
- 9 - ( - 1 ) = - 9 + 1 = - 8
This is an arithmetic progression with common difference d = - 8
Next two term:
- 9 - 8 = - 17
- 17 - 18 = - 25
To find the next terms of a sequence, we need to identify the pattern or rule governing the sequence. In this case, let's take a look at the differences between consecutive terms:
7 - 15 = -8
-1 - 7 = -8
-9 - (-1) = -8
We can see that the differences between the terms are all -8. This suggests that the sequence is decreasing by 8 each time. Therefore, to find the next two terms, we subtract 8 from the last term (-9) twice:
-9 - 8 = -17 (the next term)
-17 - 8 = -25 (the term after the next term)
Thus, the next two terms of the sequence are -17 and -25.