Question

Write the next three terms of the following sequence: 160, 136, 112, 88, ... Explain your reasoning or the pattern you found:

Answer 1

Note how 136 is 160 - 24, 112 is 136 - 24, and so on. This is an arithmetic sequence with first value 160 and common difference -24.

88 less 24 is 64;

64 less 24 is 40; and

40 les 24 is 16.

Thus, the sequence is 160, 136, 112, 88, 64, 40, 16.

Answer 2

160 - 136 = 24
136 - 24 = 112
112 - 24 = 88
The pattern is -24 for each continuing number