Answer:
Explicit: -2*2^(n-1)
Recursive: 2*aₙ₋₁
Step-by-step explanation:
To write a explicit formula for this geometric sequence you follow the following formula/template
Firstnumber*commonratio^(n-1)
Seeing that the common ratio is 2 we can start plugging numbers in and get
-2*2^(n-1)
For a recursive formula we follow the following template
common ratio * the n-1 term
So we could write this as
2*aₙ₋₁
Answer:
i--dk but may the 4th is "May the fourth be with you" and may the fifth is "Revenge of the fifth"
Step-by-step explanation:
Answer:
<em>The initial population size is 500 fish</em>
<em>Population size after 9 years: 1910 fish</em>
Step-by-step explanation:
<u>Mathematical Model</u>
We usually represent real situations as mathematical functions or rules that express the dependency of one variable quantity P with another variable quantity t.
The population size of a species of fish P(x) is modeled by the following function:

Where t is the number of years elapsed since the species was added to the lake.
The initial population size can be found by substituting t for 0:



P(0)=500
The initial population size is 500 fish
The population size after t=9 years is:




Population size after 9 years: 1910 fish
Amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P
amount must be equal to or greater than 78 since each guest wants 1 at least
amount<u>></u>78
8P<u>></u>78
(if you wanted to solve, the answer is at least 10 packages)
Answer:
Step-by-step explanation:
o multiply fractions, all you have to do is multiply the numerators and denominators and simplify the result. To divide fractions, you simply have to flip the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify.