2+8+32+128…..,n=9 Evaluate each geometric series described
1 answer:
The value of 2+8+32+128…..,n=9 is 174762
<h3>How to evaluate the series?</h3>The series is given as:
2+8+32+128…..,n=9
Start by calculating the common ratio (r)
r = 8/2
r = 4
The sum of the series is then calculated as:
This gives
Evaluate the difference
Evaluate the quotient
Hence, the value of 2+8+32+128…..,n=9 is 174762
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<u>Solution-</u>
Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)
1 UK gallon = 4.5459631 lit
1 US gallon = 3.7853060 lit
As the fuel consumption rate = 40 miles per gallon
⇒ You need 1 UK gallon of fuel to go 40 miles
⇒ You need 1.2009499 US gallon of fuel to go 40 miles
Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel
⇒ To go 1 mile you will need
⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel
∴ 22.1574906 gallon of fuel is actually required.
∴ But, what she thinks will require is (As she calculated using UK gallons)
Hey!
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Points:
(-2, 3) and (3, 0)
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Find the slope:
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Slope Intercept Form:
y = mx + b
m = slope
b = y-intercept
Slope = -3/5
Y-intercept = 9/5
Answer: y = -3/5 + 9/5
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Point Slope Form:
y - y1 = m(x - x1)
You can use either of the points.
Answer:
y - 3 = -3/5(x - 2)
or
y - 0 = -3/5(x - 3)
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Hope This Helped! Good Luck!