Help please! I don’t know how to solve these types of problems...

a₅ = -43

Step-by-step explanation:

You can automate this with Excel.

In cell A1, type -7.

Then, in cell A2, type =, click A1 and type -9.

Next, drag the cell A2 down, until you pass A5.

if you want to do it by hand:

a₁ = -7

a₂ = a₁ - 9 = -7 - 9 = -16

a₃ = a₂ - 9 = -16 - 9 = -25

a₄ = a₃ - 9 = -25 - 9 = -34

a₅ = a₄ - 9 = -34 - 9 = -43

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.