Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Answer:
and 
Step-by-step explanation:
we have
we know that
Compound inequality can be divided into two inequalities
so
rewrite
and
therefore
An equivalent form of the compound inequality is
and
3 times a year for 2 years is equal to 3 x 2, or 6. So we know that she will have to pay her bill 6 times.
The cost for each trimester is $1450, but we still have to add the book costs ($350). So, 1450 + 350 = 1800.
Now we know that she has to pay $1800 six times. So the equation will be:
1800 x 6 = 10800.
It will cost Samantha $10,800 to get her degree.
