Describe a pattern in each sequence. What are the next two terms of each sequence?
2, 4, 8, 16, . . .
a
multiply the previous term by 2; 32, 64
b
multiply the previous term by –2; –32, 64
c
subtract 2 from the previous term; 32, 64
d
add 2 to the previous term; 14, 12
The pattern in the sequence is to multiply the previous term by 2. So, the next two terms of the sequence are 32 and 64.
The pattern in the sequence is to multiply the previous term by -2. So, the next two terms of the sequence are -32 and 64.
The pattern in the sequence is to subtract 2 from the previous term. So, the next two terms of the sequence are 14 and 12.
The pattern in the sequence is to add 2 to the previous term. So, the next two terms of the sequence are 18 and 20.