Write the explicit formula for the geometric sequence.
a1 = −5, a2 = 15, a3 = −45

Step-by-step explanation:

A geometric sequence or progession is defined as a sequence where each term can be found by multiplying a factor with the first term.

In this case, the first term is -5, the second term is 15 and the third term is -45.

To find the factor, we divide the second term by the first, and the third term by the second.

As you can notice, the factor is -3, so .

Now, the explicit formula of this sequence can be found with

Where refers to the n-th term.

Replacing values, we have

Therefore, the explicit formula of the geometric sequence is

Which can be used to find any other term in the sequence.

the third picture

step-by-step explanation:

y=1/4x-4

step-by-step explanation: