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expeople1 [14]
3 years ago
9

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.

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Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w
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Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

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But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

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Now we know that;

Distance is equal to rate times time.

framing in equation form we get;

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Or

rate r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr

Hence Ms. Thomas was driving at constant rate of 52 miles/hour.

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