In a geometric sequence, as = 8 and a7 = 32.
Use the geometric mean to find the value of a6

a6=16

Step-by-step explanation:

a5=8

a7=32

Let q be the ratio: a6=a5×q

a7=a6×q=a6×(a6/a5)

a7×a5=a6²

a6=sqrt(a7×a5)=sqrt(32×8)=sqrt(256)=16

a=16

60 + 12 * g, with g representing the number of extra gigabytes

Step-by-step explanation:

First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.

After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as

60 + 12 * g, with g representing the number of extra gigabytes