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olganol [36]
4 years ago
5

Which formula can be used to describe the sequence? -3, 3/5,-3/25,3/125,-3/625​

Mathematics
1 answer:
givi [52]4 years ago
5 0

Answer:

i have the same question on my sheet

Step-by-step explanation:i need help with that one too

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What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

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

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

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

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.

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y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.

Answer: y = 7.5x and y = 5..5x + 10



4 0
4 years ago
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