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:
$1,304.70
Step-by-step explanation:
If interest 6% annually, monthly is 0.5%.
The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt
In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment
After 8 months the debt would be 1253.67 plus compounded interest for 8 months
Then the size of the final payment would be $1,304.70
Answer: No.
Good luck! I hope this is right!
1 whole should be the answer
Answer:
the answer is two groups. six times two is 12, 12 is one less than 13 but six cannot go into one
