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Hi Please check the attached file for details, let me know if you have any question, thank you. James,
What is the sum of the first eight terms of the series?
(−800)+(−200)+(−50)+(−12.5)+...
=a1(1-r^n)/(1-r)
=-800[1-(1/4)^8]/((1-1/4) =
=--1066.65
Round the answer to two decimal places.
•
•
•
•
−1066.68
−1066.65
−1066.60
−1062.50
What is the sum of the first 7 terms of the series −4+8−16+32−... ?
S = a1(1-r^7)/(1-r) = -4(1-(-2)^7)(1+2) = -4*(1+128)/3 = -172
Enter your answer in the box.
172
What is the sum of the series?
3+12+48+192+...+49,152
an = 3*4^(n-1) = 49152
4^(n-1) = 16384 = 4^7
n=8
S= 3(1-4^8)/(-3) = 65535
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49,907
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56,383
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65,535
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81,918
A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each
month.
What was the total number of bikes the company rented out for the first 6 months?
S = 6*(1-3^6)/(1-3) = 2184
Enter your answer in the box.
2184
Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half
the previous height.
How far does the bal...