Math Project

Arithmetic Sequences

100

Is this an arithmetic sequence?

5, 8, 12, 17 

NO

200

Find the next 3 terms of this set of number

-10, -6, -2...

...2, 6, 10

300

What are the following 3 terms of this sequence?

10, 21, 32...

...43, 54, 65

400

What is the 27th term of 0, -4, -8, -12...?

-104

500

A gym membership initially costs $30 for the first month you have it. After the first month, it costs 23 dollars per month. If Audrey wants to have the membership for 12 months, how much will Audrey pay at the end of the 12 months? 

30+(12-1)23=283

Audrey will pay $283

Arithmetic Series

100

In the equation S=k/2[2a_initial+(k-1)d] what does the k stand for? 

the number of terms

200

What is the sum of an arithmetic series with an upper limit of 41 and a lower limit of 1?

 ∑(-33) 

-1353

300

What is the 4th partial sun in this series?

24+24+24+24+24+24+24....

96

400

What is the 10th partial sum of the arithmetic sequence a_n=2n+1?

120

500

A square table at a graduation party sits 4 people, and when 2 square tables are put together 8 people could sit there. How many people can sit if 6 tables are put together?

24 people would be able to sit at 6 tables put together. 

Geometric Sequences

100

Is this a Geometric sequence?

2, 4, 8, 16....

YES

200

What are the numbers in this sequence being multiplied by?

3, 9, 27....

3

300

Find the next 3 terms in this sequence

2, 6, 18, 54...

...162, 486, 1458

400

Write the first three terms in the sequence based on this function

f(x)=4⋅2^x

8, 16, 32...

500

Audrey was having a birthday party and after the first hour, there were 12 people at the party. The party's population grew by 49%  every hour consistently. How many people would be at the party after 7 hours?

a_n=12(1.49)^7-1

131 people 

Geometric Series

100

In the equation S=a_initial(1-r^k)/1-r, what does r stand for?

R stands for the common ratio

200

What is the sum of an arithmetic series with an upper limit of 16 and a lower limit of 9?

 ∑(-2)ⁿ 

43520

300

What is the sum of an arithmetic series with an upper limit of 14 and a lower limit of 6? Express as a decimal.

 ∑(3/4)^n-1

.878

400

What is the sum of an arithmetic series with an upper limit of 25 and a lower limit of 6? Express as a decimal.

 ∑ 3(4/3)ⁿ

15,895.355

500

If Audre deposits $1000 in her bank and is given 8% interest per year. How much money will audrey have after her first year?

$1080 will be in her account after the first year.