Arithmetic and Geometric Series Word Problems

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

• 2,604
• 2,163
• 2,422
• 2,803

Tags

CCSS.HSF.BF.A.2

• 17
• 32
• 42
• 52

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CCSS.HSF.BF.A.2

The local power company plans to raise rates to cover the increased cost of producing power. They determine the costs will increase by 4.2% per year for the next 10 years. If you paid a total of $1031.60 for power last year, what would you expect to pay for power over the next 10 years? 
(Hint: Find a₁, a₁₀, and r)

• $13,020.97
• $10,316.00
• $2,704.97
• $12,220.97

Tags

CCSS.HSF.BF.A.2

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces? 

• 25 cm
• 84.04 cm
• 53.7956 cm
• 59.04 cm

Tags

CCSS.HSF.BF.A.2

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

• $50

• $35

• $310

• $250

Tags

CCSS.HSF.BF.A.2

A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all? Assume the pattern continues.

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? (Sequence or Series)

• 193 baskets

• 205 baskets

• 156 baskets

• 181 baskets

Tags

CCSS.HSF.BF.A.2

A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. The distance (in feet) that the projectile traveled each second, starting with the first second, was given by the arithmetic sequence 26, 44, 62, 80, . . . . Find the total distance that the projectile traveled in seven seconds

Justine earned $17,000 during the first year of her job at city hall. After each year she received a 4% raise. Find her total earnings during the first five years on the job.

• $3,541.44

• $517,077.48

• $72,189.89

• $92,077.48

In June, Cory begins to save money for a video game and a TV he wants to buy in December. He starts with $20. Each month he plans to save 10% more than the previous month. How much money will he have at the end of December?

• $154.31

• $228.72

• $251.59

• $189.74