What is the equation for a geometric sequence with a first term of 4 and a second term of −12? an = 4(−3)n − 1 an = 4(3)n − 1 an = 4(36)n − 1 an = 4(−36)n − 1

Option 1  :

Step-by-step explanation:

The geometric sequences have the following form:

Where is the first term in the sequence

We know that the first term is 4

Then = 4

We also know that the second term is -12

Then

We know that in geometric sequences the relationship between consecutive terms is constant. So:

r = -12/4

r = -3

Finally the general formula of this sequence is:

  Option 1

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168