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Zina [86]
2 years ago
5

An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

Mathematics
1 answer:
brilliants [131]2 years ago
4 0

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

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

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

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A person must score st least 360 points to make an A in one of the classes. If they currently have the scores of 82,91, and 89 p
xz_007 [3.2K]
82+91+89=262
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Virty [35]

Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

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3 years ago
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In a book of stickers the ratio of large stickers to small stickers is 7 to 5. Based on this ratio, how many large stickers are
Archy [21]
Large sticker : Small sticker = 7 : 5

Find total parts:
7 + 5 = 12  

Find 1 part:
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1 part = 96 ÷ 12 = 8 stickers

Find 7 parts:
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7 parts = 7 x 8 = 56 stickers

Answer: There are 56 large stickers
7 0
3 years ago
A book costs $12.50 plus sales tax. After tax it costs $13.25. What is the sales tax rate?
WINSTONCH [101]

Answer:

The rate of sales tax is 6%.

Step-by-step explanation:

First you must subtract 12.50 from 13.25

This brings you to .75

Then, divide .75/12.50 to get 0.06 which is equivalent to 6 percent.

6 0
3 years ago
A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and cost 38 dollars per month to join.
victus00 [196]
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.

We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63

Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:

38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63

Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9

So at month 9, the 2 plans will cost the same.

Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.

Hope this helps! :D
8 0
3 years ago
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