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4 years ago

1, 5, 25, 125, ... is the sequence geometric?find the Common ratio and the three terms in the sequence after the last one given.

Mathematics

1 answer:

nikitadnepr [17]4 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms.

5 ÷ 1 = 5, 25 ÷ 5 = 5, 125 ÷ 25 = 5

Since there is a common ratio between consecutive terms the sequence is geometric.

To obtain the next term in the sequence, multiply the previous term by 5

The next 3 terms after 125 are

125 × 5 = 625

625 × 5 = 3125

3125 × 5 = 15625

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Solve the system of equations. y= x + 17, y= 3x+1

Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

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3 years ago

Garry has 15 apples he gives 8 away how many apples does Garry have left?

Anuta_ua [19.1K]

Answer:

7 apples left

Step-by-step explanation:

So he has 15 apples. IF he gives aways 8, he only has 15-8= 7 apples left

7 0

3 years ago

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Use the figure below to determine the length of sides b and c. options: b = 5√3, c = 10 b =10, c = 5√3 b = 5√2, c = 10√3 b = 5,

Reil [10]

Answer:

Step-by-step explanation:

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4 years ago

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7p2 − 7p = 7p ( ______________)

klio [65]

Answer:

7p(p-1)

Step-by-step explanation:

7p²-7p=7p(p-1)

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3 years ago

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ASAP PLEASE HELP!!!!

zzz [600]

Answer:

It will take Josie 80 minutes to run 10 miles.

Step-by-step explanation:

We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!

We know that the ratio of 24:3 will be the same for any number of miles, so we can say

$\frac{24}{3} =\frac{x}{10\\}$

We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.

24/3 = 8

8 = $\frac{x}{10}$

80 = x

It will take Josie 80 minutes to run 10 miles.

8 0

3 years ago

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