a.

For
, we have by this definition
which is equal to
for
.
Assume
for some
. We want to use this to show that this implies
. By the recursive definition,

and we're done.
b.

For
, we have
, and
.
Assume
for some
. Then for
, we have

and we're done.
16z because you’re adding 4z four times
Answer:
-2
Step-by-step explanation:
First, when you plug in -2, you have to put parentheses around it which you probably didn't do which is why you got it wrong. First calculate (-2)^4 then multiply the product by the rest of the expression. (-2)^4= 16. Now multiply 16 by -0.125 which is equal to -2.
Answer:
A. The distance between pathways inside silicon chips gets smaller with each successive generation
Step-by-step explanation: