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EastWind [94]
3 years ago
5

The 3rd term of an arithmetic sequence

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Step-by-step explanation:

Arithmetic sequence have a common difference so we need to find the common difference.

Formula for a arithmetic sequence is

y = a + (n - 1)d

The 8th term is -32 and the third

term is -2

We need to find average rate of change so we just do

\frac{ - 32 - ( - 2)}{5}  =  \frac{ - 30}{5}  =  - 6

So the average rate of change is -6 so we have

a +( - 6 )(n - 1)  =

We need to find the initial value, let just subtract -6 from -2 twice.

- 2 - ( - 6) - ( - 6) = 10

So our inital value is 10

10 + ( - 6)(n - 1)

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Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $500 plus $25 for each
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Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

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500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

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3 years ago
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hoa [83]

Answer:

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Step-by-step explanation:

1000 stairs in 25 minutes

280 stairs in 280*25 / 1000 = 7 minutes

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3 years ago
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Is the following an example of simple random, cluster, systematic or convenience sampling?
yanalaym [24]
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3 years ago
I added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
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Answer:

1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9

Step-by-step explanation:

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3 years ago
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