Arithmetic and Geometric Sequences and Series

Brian, a scientist, is writing a research paper on projectile motion. During one of his experiments, he throws a ball from a point marked as Point A, with a certain velocity in the horizontal direction. The ball travels a total horizontal direction of 0.5 meter after 1 second, 1 meters after 2 seconds, 1.5 meters after 3 seconds, and so on. The ball hits the ground after 7 seconds. Brian marks the point where the ball landed as Point B. Calculate the distance between Point A and B.

• 3 m

• 3.5 m

• 4 m

• 4.5 m

Tags

CCSS.HSF.BF.A.2

A theater has 36 seats in the first row, 40 seats in the second row, 44 seats in the third row, and so on. How many seats are in the 18th row?

• 99

• 100

• 104

• 108

Tags

CCSS.HSF.BF.A.2

Last year, 150 cases were reported of a new infectious disease. It has been predicted that the number will double every year. How many cases will be reported in the seventh year?

• 2400

• 4800

• 9600

• 19200

Tags

CCSS.HSF.BF.A.2

You go to work for a company that pays $.01 the first day, $.02 the second day, $.04 the third day, and so on. If the daily wage keeps doubling, what will your total income be after working 15 days?

• $0.15

• $2.02

• $32

• $327.67

Tags

CCSS.HSF.BF.A.2

Viola makes gift baskets for Valentine’s Day. She has 13 baskets left over from last year, and she plans to make 12 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will she have to sell?

• 193

• 156

• 205

• 181

Tags

CCSS.HSF.BF.A.2

What is the sum for the geometric series represented by this summation notation?

• 756

• 6138

• 12276

• 15658

Tags

CCSS.HSA.SSE.B.4

Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his total earnings during the first five years at his job.

• $360,000.00

• $219,783.60

• $252,510.87

• $241,761.96

Tags

CCSS.HSF.BF.A.2

Debbie Jones opened a video rental store this year with 400 Blu-rays. She plans to buy 150 new Blu-rays each year from now on. Debbie expects to have 1300 Blu-rays available during her fifth year in business. At her current purchasing rate, will she reach her goal?

• No, she will have only 1150 Blu-rays.

• Yes, she will have exactly 1300 Blu-rays.

• Yes, she will have over 1300 Blu-rays

• No. She will have only 1000 Blu-rays

Tags

CCSS.HSF.BF.A.2