Question

PLEASE HELP ME! i have no clue what this even is and the whole lesson is full of them

Answer 1

ANSWER


`r=8,a_1=0.45`

Step-by-step explanation

The given series is


`image`

The k, stands for the nth term of the series.

The 3 at the top is the lasts term in the series.

We can write this in expanded form as


`0.45(8)^(1-1) + 0.45(8)^(2-1) + 0.45(8)^(3-1)`

This will give us,


`0.45(8)^(0) + 0.45(8)^(1) + 0.45(8)^(2)`

We can see that the subsequent terms are arrived at, by multiplying the previous terms by a constant number which is 8.

This constant number is called the common ratio, denoted by
`r`.

Thus

`r = 8`

The first term of the series is

`a_1=0.45(8)^(0)`

This simplifies to

`a_1=0.45`

The correct answer is C