Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?
Number of leaves on the tree in first year = 500
The number of leaves was 40% more than the year before.
So rate of increase is 40/100 = 0.4
We use exponential growth formula,
f(n) = a(1+r)^n
Where a is the initial number, r is the rate of growth, n is the number of years
We know a= 500, r= 0.4
f(n) = 500(1+0.4)^n
f(n) = 500(1.4)^n
Plug in n=1,2,3...
f(1) = 500
f(2) = 500 * 1.4^1
f(3) = 500 * 1.4^2 and so on
From this we can see that the common ratio is 1.4
Hence it is a Geometric sequence.
Answer:
Step-by-step explanation:
You are given GALLONS and MILES
you want to find MILES / GALLON
so just put those numebrs in
MILES / GALLON = 126 miles / 6 gallons = 21 m/g (or 21 MPG)
Answer:
see below
Step-by-step explanation:
For simplifying expressions of this sort, there are four rules of exponents that come into play;
__
I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.
Yes because it is a linear equation
Answer:
The last choice.
Step-by-step explanation:
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
