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weeeeeb [17]
3 years ago
11

Find sum of -3,2,7,12....,132 Arithmetic series

Mathematics
1 answer:
jonny [76]3 years ago
8 0
a_1=-3 \\
d=2-(-3)=5 \\
a_n=132 \\ \\
a_n=a_1+d(n-1) \\
132=-3+5(n-1) \\
132=-3+5n-5 \\
132=-8+5n \\
140=5n \\
n=28 \\ \\
S_n=\frac{n(a_1+a_n)}{2} \\
S_{28}=\frac{28(-3+132)}{2}=\frac{28 \times129}{2}=14 \times 129=1806

The sum is 1806.
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Nina [5.8K]

Answer: -8

Step-by-step explanation:

  1. 7(w+13)=35 [given]
  2. w+13=5 [divide both sides by 7]
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1 year ago
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Paraphin [41]
There are 20 books in each box.
If each box has 20 books, then the number of books is 20 times the number of boxes. (20 books: 1 box, 40 books: 2 boxes...)

So, using mathematical terms, the number of books is equal to the number of boxes x 20.

Here, it says James packs x boxes of books. This means that we call the number of boxes, x. X could be 1,2,3, or any other number.

So, since there are 20 times as many books as boxes, the number of books is 20 times x.

In math terms, this is written like 20x.
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3 years ago
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rusak2 [61]

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7 0
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Flauer [41]

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Step-by-step explanation:

We can use the equation that Skate Land created to find the total cost

C = 7.50p + 65

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we can now add the flat fee of $65 to get the total cost for the birthday part

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In​ 1990, the average income for an American worker was​ $1,518 per month. In​ 2000, the average income for an American worker w
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Answer:

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Step-by-step explanation:

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A=P(1+i)^t\\\\1402=657(1+i)^{10}\\\\(1+i)=(\frac{1402}{657})^{0.1}\\\\1+i=1.07874\\\\i=0.07874

We use the calculated growth rate in food prices to find the potential future value of a 90's income:

A=P(1+i)^n\\\\=1518(1.07874)^{10}\\\\=3239.21

#Compare this calculated value to the stated value:

3239.21>2632

Hence, the real value of income has decreased since it's less than it's future value over the 10-year period.

7 0
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