Question

Which function can be used to model the graphed geometric sequence?

f(x + 1) = ⅚ f(x)
f(x + 1) = 6/5f(x)
f(x + 1) = ⅚ ^f(x)
f(x + 1) = 6/5^f(x)

Answer 1

A - f(x + 1) = ⅚ f(x)

Step-by-step explanation:

Right on the edge final!

I hope this helps!

- sincerelynini

Answer 2

Answer: The correct option is 1, i.e.,
`f(x+1)=(5)/(6)f(x)`.

Step-by-step explanation:

The geometric sequence is in the form of,

`a,ar,ar^2,ar^3,....`

Where, a is the first term of the sequence and r is the common ratio of the sequence.

It means the
`n_(th)` term of the sequence is defined as,

`a_n=ar^(n-1)`

So the the
`(n+1)_(th)` term of the sequence is defined as,

`a_(n+1)=ar^n`

`a_(n+1)=r(ar^(n-1))`

`a_(n+1)=ra_n`

It means the geometric sequence is in the form of,

`f(x+1)=rf(x)`

Where, r be any constant.

From the options only
`f(x+1)=(5)/(6)f(x)` is in the form of
`f(x+1)=rf(x)` with common ratio
`(5)/(6)`.

Therefore, the function can be used to model the graphed geometric sequence is
`f(x+1)=(5)/(6)f(x)` .