A finite geometric series is that where the consecutive terms have a fix ratio.
Call r the ratio, An the nth term and An+1 the next term to n, then:
An+1 / An = r
For example, the geometric series, 1, 3, 9, 27, 81, ..
You can verify that
3 = 1* 3
9 = 3 * 3
27 = 9 * 3
81 = 27 * 3
So, the formula is An+1 = An * r, so if you know the first term you can find any other term.
For example, Find the fith term of a geometric series where the first term is 5 and the second term is 25.
r = secont term / first term = 25 / 5 = 5
=> Fifth term = First term * r * r * r * r = First term * r^4 = 25 * 5^4 = 15,625
From this you can also see this valid formula:
An = A1 * r^ (n-1).
So now you have two equivalent formulas:
An+1 = An * r, which is called recursive formula, and
An = A1 * r ^ (n-1), which is called explicit formula
Answer:
Step-by-step explanation:
The question in English is
In one appliance store, a refrigerator cost $8,900 and they lowered it to $7,120. What percentage did they lower?
we know that
$8,900 ------> represent the 100%
so
by proportion
therefore
the percentage is equal to
Answer: 2.01
Explanation: I rounded 22.11 two 22. So when you divide it by eleven is 2. Then you divide 11 by 11. Which is one, and it seems it was in the hundreths place so you add a cero before the one.
Yes JKLM would be a parallelogram.
