What is a formula for the nth term of the given sequence?
36, -48, 64...

A formula for the nth term of the given sequence is:

Step-by-step explanation:

Given the sequence

36, -48, 64...

We know that a geometric sequence has a constant ratio r and is defined by

Compute the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

Therefore, the given sequence is a geometric sequence.

As the first element of the sequence is

so substituting and in the nth term

Therefore, a formula for the nth term of the given sequence is:

step-by-step explanation:

10.50 + taxes which added up to 11.50

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: