Unit Exam Review

Arithmetic Sequences

100

4, 7, 10, 13, …

• Find the 20th term.

61

200

3, 11, 19, 27, …

• Find the 15th term.

• Write the algebraic representation.

115 & 8t-5

300

100, 95, 90, 85, …

• Which term is equal to 25?

16th term

400

–20, –15, –10, –5, …

• Find the 30th term.

• Write the algebraic representation.

125 & 5t-25

500

2, 2.5, 3, 3.5, …

• Is there a term equal to 15? If yes, which one?

27th term

Iterative Notation

100

Given n₂ = 5 and n_t+1 = n_t - 4

• Find the 10th term.

-27

200

Given n₀ = 7 and n_t+1 = n_t + 6

• Find the 12th term.

79

300

Given n₁ = -3 and n_t+1 = n_t + 10

• Find the 15th term.

• Write the algebraic representation

137 & 10t-13

400

Given n_-2 = 20 and n_t+1 = n_t - 7

• Find the 5th term.

• Find when it's equal to -62?

-29 & Never 

500

Given n₁ = 0.5 and n_t+1 = n_t + 0.75

• Find the 30th term.

• Write the algebraic representation

22.25 & 0.75t-0.25 

Quadratics

100

Sequence: 11, 15, 19, 23, … 

•Find the 12th term 

•Find the sum of the first 12

55 & 396

200

Sequence: 2, 5, 8, 11, …
•Find the 20th term.
•Find the sum of the first 20 terms.

59 & 610

300

Sequence: 100, 95, 90, 85, …
•Find the sum of the first 25 terms
•Write the algebraic representation for the sum.

1,000 & (-5/2)t² + (205/2)t

400

Sequence: –12, –7, –2, 3, …
•Find the 30th term.
•Find the sum of the first 30 terms.
•Write the algebraic Representation for the sum.

•133
•1815
•(5/2)t² - (29/2)t

500

Sequence: 1, 1.5, 2, 2.5, …
•Find the 40th term.
•Find the sum of the first 40 terms.
•Write the algebraic representation for the sum.

•20.5

•430

•0.25t² + 0.75t

Hidden Sequences

100

Sequence: 2, 5, 10, 17, 26, …
•Write the algebraic representation for the hidden sequence.

2t + 1

200

Sequence: 3, 8, 15, 24, 35, …
•Write the algebraic representation for the hidden sequence

2t + 3

300

Sequence: –1, 2, 7, 14, 23, …
•Write the algebraic representation for the hidden sequence.
•Write the algebraic representation for the quadratic  sequence.

2t + 1
t² +2t - 1

400

Sequence: 10, 17, 26, 37, 50, …

•Write the algebraic representation for the hidden sequence.
•Write the algebraic representation for the quadratic  sequence.
•Find the 20th term

2t + 5

t² + 4t + 5

485

500

Sequence: 5, 12, 21, 32, 45, …
•Write the algebraic representation for the hidden sequence.
•Write the algebraic representation for the quadratic  sequence.
•Find the 25th term
•Find when the pattern equals to 77

2t + 5

t² + 6t + 5

780

6th term

Vertex Form

100

x² + 4x + 1

(x+2)² - 3

200

x² - 6x + 8

(x-3)² - 1

300

2x² + 8x + 3

2(x+2)² - 5

400

3x² - 12x + 7

3(x-2)² - 5

500

5x² - 40x + 60

5(x-4)² - 20