Find an explicit rule for the nth term of the sequence.

-2, -8, -32, -128

= - 2

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 8 ÷ - 2 = - 32 ÷ - 8 = - 128 ÷ - 32 = 4

This indicates the sequence is geometric with nth term

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 4 , then explicit formula is

= - 2

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees