Answer:
Geometric Sequence.
Step-by-step explanation:
Geometric sequence. If you take a close look at the graph, it never touches the x - axis. If you use division in a geometric sequence, you will get a very small number, but you will never touch the axis.
To divide fractions, you flip the denominator and then multiply it by the numerator.
-6 / 5 x (-25 / 3)
Multiply straight across; the negative cancels out.
150 / 15
This can be reduced to 15, which is its simplest form.
Answer:
16 million
Step-by-step explanation:
The United States spends an average $15,908 per pupil on postsecondary education and $33,063 per pupil on graduate and postgraduate education. The nation's gross domestic product (GDP) grows 71.6% faster than public education spending.
Answer:
Either
(approximately
) or
(approximately
.)
Step-by-step explanation:
Let
denote the first term of this geometric series, and let
denote the common ratio of this geometric series.
The first five terms of this series would be:
First equation:
.
Second equation:
.
Rewrite and simplify the first equation.
.
Therefore, the first equation becomes:
..
Similarly, rewrite and simplify the second equation:
.
Therefore, the second equation becomes:
.
Take the quotient between these two equations:
.
Simplify and solve for
:
.
.
Either
or
.
Assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
Similarly, assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.