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Over [174]
4 years ago
7

What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = −16?

Mathematics
1 answer:
Papessa [141]4 years ago
4 0

<span><span>a7</span>=1024⋅<span><span>(−<span>14</span>)</span><span>7−1</span></span></span>

<span>=1024⋅<span><span>(−<span>14</span>)</span>6</span></span>

<span>=<span>45</span>⋅<span><span>(−<span>14</span>)</span>6</span>=−<span>14</span>=−<span>0.25</span></span>

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Step-by-step explanation:

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Question 4 Multiple Choice Worth 1 points)
Crank

Answer:

-4

Step-by-step explanation:

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7 0
3 years ago
. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?
lilavasa [31]

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

6 0
3 years ago
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