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stira [4]
3 years ago
12

Find the seventeenth term of the arithmetic sequence -4, -9, -15

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0
When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.

In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.

Here's what we can see so far:

To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result

Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.

Try solving it yourself before you look ahead! :)

So continuing the pattern:

Start at -4

To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9

To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15

To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22

To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30

To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39

[...continue this pattern until you reach the 17th term...]

Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.

Try practicing with some other sequences of numbers! You've got this!
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Step-by-step explanation:

5 0
3 years ago
How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)
ohaa [14]
Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?

Let x = 49

(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
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8 0
3 years ago
A prism has a length of 5 meters, height of 6 meters, and width of 1 meter.
Svetradugi [14.3K]

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Step-by-step explanation:

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1 x 5 x 6 = 30

Add the unit label

4 0
3 years ago
Read 2 more answers
Using the formula c=2r, find the circumference with diameter of 28inches. Round your answer to the nearest inch.
Furkat [3]

Radius is equal to 1/2 the diameter. The radius is 14 (28/2=14)

With your formula:

c=2*14

c=28

HOWEVER I believe you meant

c=2(pi)r

In which

c=2(pi)14

c=28(pi)

In this instance for pi we can use 3.14 since we will be rounding anyway, so

c=28*3.14

c=87.92

Rounded to be

c=88

Note:

If we didn’t round pi out to 3.14 we would have gotten 87.964594...

5 0
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