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
1/3 rise=1 run=2. Therefore the answer is 1/3
CD is congruent to XY, DA is congruent to YZ and AC is congruent to ZX even tho i'm not able to see properly your image
Answer:
x = 9.6
Step-by-step explanation:
9x + 1 = 88
combine like terms
9x = 87
divide
87/9 = 9.6
x = 9.6
Answer:2
Step-by-step explanation:
Answer:
8. yes, ASA
9. yes, SAS
10. yes, AAS
11. no
12. no
13. yes, SSS
Step-by-step explanation: