Question

What are the next two term patterns -128,64,-32,16

Answer 1

The pattern in the sequence -128, 64, -32, 16 involves each term being half of the previous term and alternating in sign. The next two terms of the pattern are -8 and 4.

Step-by-step explanation:

The given sequence is -128, 64, -32, 16. To find the next two terms, we observe the pattern in the sequence. Each term is half the previous term and alternates in sign (positive, negative).

The previous term is 16, so the next term would be half of 16, which is 8. However, since we are alternating signs and the previous term was positive, the next term will be negative: -8.

Continuing this pattern, the term following -8 would be half of 8, which is 4, and since we are alternating signs, it will be positive: +4.

Therefore, the next two terms in the pattern are -8 and 4.

Answer 2

- 8 and 4

These are the terms of a geometric sequence with a common ratio r

r =
`(64)/(- 128)` =
`(- 32)/(64)` =
`(16)/(- 32)` = -
`(1)/(2)`

the next 2 terms are obtained by multiplying the previous term by r

16 × -
`(1)/(2)` = - 8

- 8 × -
`(1)/(2)` = 4