Vocab & Terms

Geometric

Arithmetic

Mixture

Word Problems

100

A set of numbers arranged in particular terms

What is sequence

100

A geometric sequence, starting with 1, with a 1:4 ratio. (5 terms)

What is 1, 4, 16, 64, 256

100

An arithmetic sequence, starting with 6.01, with a common difference of .25. (5 terms)

What is 6.01, 6.26, 6.51, 6.76, 7.01

100

A sequence, beginning with 5, with a ratio of 1:6. Identify the type. (5 terms)

5, 30, 180, 1080, 6480

Geometric

100

On January 1st Komi puts $100 into his bank account. On the first of each month after that he deposits an additional $10.

How much money is in Komi's account at the end of February?

$110

200

The number of terms you wish to find in the sequence.

What is n

200

A geometric sequence, starting at 5, with a 1:3 ratio. (5 terms)

What is 5, 15, 45, 135, 405

200

An arithmetic sequence, starting with 89, with a common difference of two. (5 terms, decreasing)

What is 89, 87, 85, 83, 81

200

An sequence, beginning with -7, with a common difference of 3. Identify the type.

( 6 terms, decreasing)

-7, -10, -13, -16, -19, -22

Arithmetic

200

John has purchased 20 books. The 1st book cost $1, the 2nd, $2, the 3rd, $4, and the 4th ,$8, and so on. How much did John pay for the 20 books?

$1,048,575

300

The common ratio

What is r

300

A geometric sequence, starting with 3, with a ratio of 1:5. (5 terms)

What is 3, 15, 75, 375, 1875

300

Arithmetic sequence, beginning with -12, with a common difference of 10. (6 terms)

What is -12, -2, 8, 18, 28, 38

300

The sixth term in the sequence, beginning with 3, with a ratio of 1:2.

3, 6, 12, 24, 48, 96

300

Mo reads a lot of books. When he was five years old he read 4 books. Each year he reads three more than twice the number of books he read the previous year.

How many books does Mo read when he's six years old?

11

400

A sequence with a common difference between terms

What is arithmetic sequence

400

The explicit rule of the geometric sequence with a_{1}=4 & a_{4}=4/27.

What is 4(1/3)^{n-1}

400

An arithmetic sequence, beginning with 45, with a common difference of 4. (7 terms)

45, 49, 53, 57, 61, 65, 69

400

The second term of a geometric sequence is 6, and the fifth term is 48. Determine the sequence.

3, 6, 12, 24, 48

400

In 2013, the number of students in a small school is 284. It is estimated that the student population will increase by 4% each year.

1.The formula for the student population.

2.The population in 2020

1. a_{n}= (284)(1.04)^{n}

2. 374

500

Sequence with a ratio between consecutive terms

What is geometric sequence

500

Find the 18th term of a geometric sequence with a first term of 5 and a common ratio of 3.

What is 645,700,815

500

The arithmetic sequence formula

a_{n}= a_{1}+(n-1)d

500

The two equations for the sequence with terms

a_{5}= −32 and a_{18}= 85

a_{5}= -32: *-32=a _{1}+4d*

a_{18}= 85: *85=a _{1}+17d *

500

Mike deposited $850 into the bank in July. From July to December, the amount of money he deposited into the bank increase by 25% per month. What’s the total amount of money in his account after December? Round your answer to the nearest dollars

$9570

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