Arithmetic Sequences and Partial Sums

Evaluate each series described (n is the number of terms in the series):
4 + 9 + 14 + 19 + ..., n = 14

• 1050

• 1022

• 511

• 519

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSF.BF.A.2

A plumber charges $55 for 1 hour of work, $90 for 2 hours, and $125 for 3 hours. Which function represents the sequence of hourly charges?

• a_n = 55 + 35n

• a_n = 55(35)^n-1

• a_n = 35 + (n-1)55

• a_n = 55 + (n-1)35

Tags

CCSS.HSF.BF.A.2

Hayley has a garden and likes to put flowers from her garden into pretty vases. Hayley put 42 flowers in the first vase, 42 flowers in the second vase, 42 flowers in the third vase, and 42 flowers in the fourth vase. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

Tags

CCSS.HSF.BF.A.2

Find the nth partial sum:
8, 20, 32, 44, ...    n=10

• 116

• 124

• 680

• 620

I can find nth partial sums of arithmetic sequences.

• True

• False

a₁=5, a₂=11, a₁₅=?

• 95

• 89

• 81

• 159

Tags

CCSS.HSF.BF.A.2

I can recognize, write, and find the nth terms of arithmetic sequences.

• true

• false

Tags

CCSS.HSF.BF.A.2

A small hardware store makes a profit of $20,000 during its first year.  The owner sets a goal of increasing profits by $5,000 each year for 4 years.  Assuming the goal is met, what is the total profit for the first 5 years of business?

• $40,000

• $150,000

• $300,000

• $60,000

Tags

CCSS.HSF.BF.A.2

I can use arithmetic sequences to model and solve real-life problems.

• True

• False

Tags

CCSS.HSF.BF.A.2