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In-s [12.5K]
3 years ago
8

Find the first three terms of the series represented by the formula 3(- 2)(n - 1).

Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

0, - 6, - 12

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the formula

a₁ = 3(- 2)(1 - 1) = 3 × - 2 × 0 = 0

a₂ = 3(- 2)(2 - 1) = 3 × - 2 × 1 = - 6

a₃ = 3(- 2)(3 - 1) = 3 × - 2 × 2 = - 12

First 3 terms are 0, - 6, - 12

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3 years ago
You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac
andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = \frac{Diameter}{2}=\frac{9}{2}=4.5\ cm

Height of cups = 12 cm

We will find volume of cup.

Volume = \frac{1}{3}\pi r^2h\\

Putting all the values

Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

4 0
3 years ago
**URGENT**please help and show work!
Natasha2012 [34]

Answer:

mat hhway u gives all the answers

Step-by-step explanation:

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(-7)/4
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-(7/4) which is our slope
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It’s is going to be 15 since 30/2 equals 15
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3 years ago
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