Answer:
The sequence above is a geometric sequence
For an nth in a geometric sequence
where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 45
r = 15 / 45
The explicit formula for the sequence is
U(n) = 45(1/3)^n-1
Hope this helps you
Answer:
Step-by-step explanation:
Ratios are no different from fractions. They are "comparisons" of 2 or more things. Instead of fraction bars, they use colons to separate 2 different things.
For example:
Now, let's do an example problem.
Ex: find the ratio of 5 cats to every dog.
We are comparing 5 cats to every 1 dog, so the ratio is:
Don't make thing more complicated to yourself, and don't overthink it. They are exactly like fractions. So treat them as such!
To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1
Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:
The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"
Next multiply the result by the third fraction -2/5
This time you are multiplying a positive and a negative number, so the result of the calculation will be negative
Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form: