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3 years ago

Find the first six terms of the sequence. a1 = -7, an = 4 • an-1

2 answers:

8 0

Answer:
a1= -7
a2=4 • -7= -28
a3=4 • -28= -112
a4=4 • -112= -448
a5=4 • -448= -1792
a6=4 • -1792= -7168

Anuta_ua [19.1K]3 years ago

6 0

A1 = -7

an = 4 * an-1

a2 = 4 * a(2-1) = 4 * a1 = 4 * -7 = -28
a3 = 4 * a(3-1) = 4 * a2 = 4 * -28 = -112
a4 = 4 * a(4-1) = 4 * a3 = 4 * -112 = -448
a5 = 4 * a(5-1) = 4 * a4 = 4 * -448 = -1,792
a6 = 4 * a(6-1) = 4 * a5 = 4 * -1792 = -7,168

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Answer:

The equation that matches this situation is y = 8.34x + 25 ⇒ B

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

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b is the y-intercept (initial value)

The rule of the slope is m = Δy/Δx, where

Δy is the change of y

Δx is the change of x

∵ Lisa collects rainwater in a barrel that weighs 25 pounds

∴ The initial value of the weight is 25 pounds

∴ b = 25

∵ When there are 10 gallons of water in the barrel, the total weight

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∴ At x = 10, y = 108.4

∵ When there are 20 gallons of water, the total weight is 191.8 pounds

∴ At x = 20, y = 191.8

→ Find Δx and Δy

∵ Δx = 20 - 10 = 10

∵ Δy = 191.8 - 108.4 = 83.4

→ Substitute them in the rule of the slope above

∴ m = $\frac{83.4}{10}$

∴ m = 8.34

→ Substitute the values of m and b in the form of the equation above

∵ y = 8.34x + 25

∴ The equation that matches this situation is y = 8.34x + 25

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3 years ago

What are the following terms most accurately describes the fraction 2/5 ?

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3 years ago

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kifflom [539]

Answer:

Step-by-step explanation:

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To find per year decay, we divide the percentage by the number of years, so we get unit rate of years {per year]. Thus we have:

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3 years ago

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2 years ago

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Answer:

Yes

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