Write a rule for the sequence
8, -1, -10, -19,...
A. Start with 8 and add -9 repeatedly.
B. Start with -9 and add 8 repeatedly.
C. Start with 8 and add 9 repeatedly.
D. Start with 8 and subtract -9 repeatedly.
To find the rule for the given sequence, let's observe the pattern between each term:
From 8 to -1, there is a decrease of 9 units.
From -1 to -10, there is a decrease of 9 units.
From -10 to -19, there is also a decrease of 9 units.
Based on this pattern, we can conclude that the rule for the sequence is:
D. Start with 8 and subtract -9 repeatedly.
To verify this, we can apply the rule to the given sequence:
Starting with 8 and subtracting -9, we get:
8 - (-9) = 8 + 9 = 17
17 - (-9) = 17 + 9 = 26
26 - (-9) = 26 + 9 = 35
...
The subsequent terms of the sequence match when applying the rule, confirming that option D is the correct rule.