Arithmetic and Geometric Series

Find the indicated sum of the series if  $a_1=-3,\ r=-2,\ n=6.$  

• 96

• 63

• -33

•  $\frac{-189}{2}$  

Tags

CCSS.HSA.SSE.B.4

Find the indicated sum of the series if  $a_1=58,\ n=18,\ a_n=14$  

• 648

• 666

• 630

• 612

Tags

CCSS.HSA.SSE.B.4

Find the sum of the first 25 terms of the series: 6+14+22+30+...

• 450

• 2650

• 2550

• 550

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Mike applied for a job at M&M Mars, in which the starting salary is $35,000. How much money will Mike earn, in total, after 10 years of employment if his salary increases by 3% each year?

• $45,667.06

• $47,037.07

• $401,235.78

• $355,568.71

Tags

CCSS.HSF.BF.A.2

Mike applied for a job at M&M Mars, in which the starting salary is $35,000. How much money will Mike earn, in total, after 10 years of employment if his salary increases by $1200 each year?

• $398,000

• $400,000

• $404,000

• $45,800

Tags

CCSS.HSF.BF.A.2

Which series are Arithmetic? (select ALL that apply)

• 2 + 4 + 8 + 16...

• 7 + 15 + 23 + 31...

• 80 + 68 + 56 + 44...

• 1 + 3 + 7 + 11...

• -10 + (-8) + (-6) + (-4)...

Tags

CCSS.HSF.BF.A.2

Find the sum of the first 718 terms for the series

2 + 4 + 6 + ... + 1436

• 1,797

• 116,236

• 321,704

• 516,242

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.3

Find the indicated sum for the geometric series.

S₆ for (-4/5) + 8 + (-80) + 800 + ....

• _S6 = 21,845

• _S6 = 72,000

• S6 = $\frac{363636}{5}$

• S6 = $\frac{-644204}{5}$

Tags

CCSS.HSA.SSE.B.4

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?

• $13,020.97

• $10,316.00

• $2,704.97

• $12,220.97

Tags

CCSS.HSF.BF.A.2

An employee has a salary of $48,000 per year. The employee is promised a $1,340 raise each subsequent year. Find the TOTAL earnings over a 5 year period.

Tags

CCSS.HSF.BF.A.2