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densk [106]
3 years ago
10

Find the 31st term of the following sequence. 9, 15, 21, ...

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Notice that the above sequence is arithmetic because the common difference: d is constant.

d = second term - first term.

= 15 - 9

= 6

The general term of an arithmetic sequence is,

a_{n} =a_{1} +(n-1)d

Where , nth term = a_{n}

a_{1} = First term

and d = common difference.

The given sequence is: 9, 15, 21, ...

Here a_{1} = 9,

d = 6

We need to find the 31st term. So, n = 31.

Next step is to plug in these values in the above formula. Therefore,

a_{31} =9 +(31-1)*6

= 9 + 30* 6

= 9 + 180

= 189

So, 31st term of this sequence is 189.

Hope this helps you.

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You wrote the question wrong...

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Step-by-step explanation:

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The length of a rectangle is 3 times the width. If the perimeter is to be greater than 56 meter. What are the lossible values fo
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Answer:

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Step-by-step explanation:

L = 3w

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sub for L

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Check: L = 3(8)

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3 years ago
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Better still we could use the slope formula:

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The rate of change of this sequence is:

m =  \frac{2.5 - 2}{2 - 1}  =  \frac{0.5}{1}  = 0.5

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