Geometric Series and Applications Std.A.SSE.4

C

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 ball travel from the time she drops it until it reaches the peak height after the 5th bounce? A) 155 ft B) 230 ft C) 232.5 ft D) 312.5 ft

-172

What is the sum of the first 7 terms of the series −4 + 8 − 16 + 32 −...?

B

What is the sum of the first eight terms of the series? (−800) + (−200) + (−50) + (−12.5) +... A) -1066.68 B) -1066.65 C) -1066.60 D) -1062.50

C

What is the sum of the series? 3 + 12 + 48 + 192 + ... + 49152 A) 49,907 B) 56,383 C) 65,535 D) 81,918

2,184

A bike rental company rented out 6 bikes in its first month. The number of bikes it rented each month increased by three times the previous month's rentals. What was the total number of bikes the company rented out for the first 6 months?