Question

What are the next four terms of the sequence -22, -6, 2, 6, 8,

Answer 1

9, 9.5, 9.75, 9.875

Explanation:

Notice the following pattern:

`-22+16=-22+2^4=-6\\-6+8=-6+2^3=2\\2+4=2+2^2=6\\6+2=6+2^1=8`

Therefore, the next four terms will be:

`8+2^0=8+1=9\\9+2^(-1)=9+0.5=9.5\\9.5+2^(-2)=9.5+0.25=9.75\\9.75+2^(-3)=9.75+0.125=9.875`