Answer:
<u>Checkmark:</u>
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.
r = -3

= -2
Substitute the values in the equation:

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)
The recursive formula would be:

Checkmark:
✓ The sequence is geometric
✓ The recursive formula for the sequence is
; 
✓ The explicit formula for the sequence is 
The value of home today is $ 424527.63
<em><u>Solution:</u></em>
Given that, Twenty years ago, Mr. Davis purchased his home for $160,000
Since then, the value of the home has increased about 5% per year
To find: Exponential function to find the value of home today
<em><u>The exponential growth function is given by:</u></em>

Where, "y" is the worth after "t" years
"a" is the initial amount
"r" is the rate of interest per year
From given information,
a = 160000
t = 20 years

Substituting the values we get,

Thus the exponential function is found
Let us find the value

Thus the value of home today is $ 424527.63
Answer:
She lives 1/5 miles away from the library
Step-by-step explanation:
Here, we want to get the distance that Sheila
lives from the library
From the question, we are told she lives 1/3 as far as Doreen
So what we have to do in this case is to simply multiply the distances
we have this as:
1/3 * 3/5 = 1/5
Answer:
4x^4-2
Step-by-step explanation:

Hope this helps!