Answer:
3072
Step-by-step explanation:
<u>General form of a geometric sequence</u>:

where:
is the nth term- a is the first term
- r is the common ratio
Given values:
- first term, a = 3
- common ratio, r = 4
Substitute the given values into the formula to create an <u>equation for the nth term</u>:

To find the 6th term, substitute n = 6 into the equation:




Therefore, the 6th term of a geometric sequence whose 1st term is 3 and whose common ratio is 4 is 3072.
Learn more about geometric sequences here:
brainly.com/question/27783194
Using linear function concepts, it is found that consumption would increase by $800.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the function is given by:
C = 200 + 0.8Y.
Which means that the slope is of m = 0.8 per unit of Y.
For 1000 units:
0.8 x 1000 = 800.
Consumption would increase by $800.
More can be learned about linear function concepts at brainly.com/question/24808124
Box of crackers-1 15.00-3.50= 11.50
bags of fruit- 2 4.75*2= 9.50
Remainder- $2.00
1.
a. let k = constant
k = y/x
so k = 14/2 = 7
b. the equation would be y = 7x
2. a. k = y/x = 25/5 = 5
b. y = 5x
c. 50 = 5x, x = 50/5 = 10
Answer:
24
Step-by-step explanation: