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Serga [27]
3 years ago
15

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

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Can you guyz help me with this question.please write the answers step by step ☺️
sasho [114]
Hey! Ok so with this problem, you can figure out the pattern with subtraction.

If you convert the fractions to decimals you get 3.25 and 5.625. 
5.625 - 3.25 = 2.375, which means he increased his run by 2.375 miles.
8 - 5.625 = 2.375 as well, which follows the pattern. So what you would need to do from here is add 2.375 miles for each day he jogged. 

8 + 2.375 = 10. 375, the miles he jogged on thursday. 
10.375 + 2.375 = 12. 75, the miles he jogged on friday.

So, when converted to fractions, your answer is D: Eric jogged 12 3/4 miles on Firday


7 0
3 years ago
A water sprinkler covers a circular area with a diameter of 20 feet. If it is set to cover only an arc measuring 120 degrees, wh
Wewaii [24]

<u>Answer:</u>

The sprinkler will cover 104.66 square feet

<u>Explanation:</u>

A water sprinkler covers a circular area with a diameter D=  20 feet

and radius r = 10 feet

Arc measuring degrees = 120 degree

Area of the Arc = \frac{120}{360} \times \pi \times r^2

                         = \frac{1}{3} \times \pi \times 10^2

                         = \frac{1}{3} \times 3.14 \times 10 \times 10

                         = 104.66

The sprinkler will cover an arc area covering 104.66 square feet

4 0
3 years ago
Which is true?
zvonat [6]
D is true hope this helps
4 0
3 years ago
Read 2 more answers
Who is correct and why?
Deffense [45]
There is no information below to give an answer .
6 0
3 years ago
A central purple circle labeled O has 2 concentric rings around it. The inner ring has 2 small green spheres. The outer ring has
natulia [17]

Answer:

Its C

Step-by-step explanation:

It is 6 because there are 6 dots on the outer circle and those are the valence electrons. Also I just did it on Edge. Hope this helps.

8 0
2 years ago
Read 2 more answers
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