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Alex_Xolod [135]
4 years ago
7

Form a sequence that has two arithmetic means between -1 and 59.

Mathematics
2 answers:
Helga [31]4 years ago
6 0

Answer:

b

Step-by-step explanation:

The sequence will be arithmetic with 4 terms and a common difference d, which requires to be found.

The n th term of an arithmetic sequence is

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

where a is the first term

here a = - 1, n = 4 and a_{4} = 59, hence

- 1 + 3d = 59 ( add 1 to both sides )

3d = 60 ( divide both sides by 3)

d = 20, thus the four terms are

-1

- 1 + 20 = 19

19 + 20 = 39

39 + 20 = 59, that is

- 1, 19, 39, 59 → b

Digiron [165]4 years ago
5 0
Answer: B

i cant really explain much but it’s c
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tatyana61 [14]

Answer:

<h3>Therefore the sum if the series is 15.98!</h3>

The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.

8⋅1/2=4

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because the absolute value of r is less than 1 we can use the following formula.

a/1−r where a is the first term and r is the common ratio

In our problem

a=8 and r=0.5

Substitute

8/1−0.5=8/0.5=16

The sum of this infinite geometric series is 16.

Also, another formula you can use that is guaranteed to work every time, no matter what, is:

Sn=a(r^n−1/r−1)

All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:

S10=8(0.5^10−1/0.5−1)

S10=15.984375

Therefore the sum if the series is 15.98!

Step-by-step explanation:

<h2>Hope it is helpful....</h2>
7 0
3 years ago
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Answer is 16

8 (6 1/4 x 3.2 - 18)

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