The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser ies? A) 22 1 2 B) 45 C) 90 D) 180
2 answers:
Answer:
answer is 90 for first term
Step-by-step explanation:
Let the terms be
First term x
We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.
We know the sum and the common ratio, so we'll be solving for x where r =4/5
s∞=x/1−r
450=x/1−4/5
450=x/1/5
450=5x
x=90
this is the first term x1 = 90
we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term
90 x 4/5= 72 second term
Answer:
C) 90
Step-by-step explanation:
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
450 = a₁ / (1 − 4/5)
450 = a₁ / (1/5)
450 = 5a₁
a₁ = 90
You might be interested in
Answer:
5902
Step-by-step explanation:
Solution: 13% off 45400 is equal to (13 x 13) / 100 = 5902.
Answer:
Step-by-step explanation:
Given
See attachment
Required
Find
First, calculate
--- angle on a straight line
So, we have:
Collect like terms
Next, calculate PQR
So, we have:
Collect like terms
So, PRO is calculated as:
--- angles in a triangle
So, we have:
Collect like terms
If he once traveled 36 hours and he takes 6 hour trips you do 10x3=30 so every six hours he takes 30 minute brakes then 36 divided by 6 equlas 6 you would do 30x6= the answer!!! (Btw i do 6th grade math)
Just use a calculator and you will get -1/2
Answer:
Ans: 6c+3=45
6c=45-3
6c/6=42/6
C=7
So my correct answer is C=7