Algebra II Sequences and Series Review

Write the first 6 terms of the sequence:

a_n = -2n - 5

• -9, -11, -13, -15, -17, -19

• -5, -7, -9, -11, -13, -15

• -7, -9, -11, -13, -15, -17

• -7, -12, -17, -22, -27, -32

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10

Write the rule for the nth term of the sequence.

-7, -4, -1, 2...

• a_n = -10n + 3

• a_n = -3n - 10

• a_n = -10n - 3

• a_n = 3n - 10

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the sum of the first 25 terms of the sequence below:

a_n = 5n + 1

• 126

• 1650

• 3300

• 2650

Write the equation for the arithmetic sequence with the following terms:

a₁₄ = -36, a₂₂ = -52

• a = -2n - 8

• a = -8n - 2

• a = -8n - 10

• a = -2n - 10

The number of seats in each row of a concert hall follows the sequence below:

a_n = 16 + 2n

Which row has 38 seats?

• 16

• 92

• 12

• 15

The number of seats in each row of a concert hall follows the sequence below:

a_n = 16 + 2n

How many seats are in the first 20 rows?

• 56

• 18

• 1480

• 740

Find the 8th term of the sequence:

a_n = 2(5)^n-1

• 156250

• 80

• 16

• 10000000

Describe the sequence, find the 5th term, and write the rule.

1, 5, 25, 125...

• geometric, a₅ = 625, a_n = 5^n-1

• arithmetic, a₅ = 3125, a_n = 5^n-1

• geometric, a₅ = 3125, a_n = 5ⁿ

• arithmetic, a₅ = 625, a_n = 5ⁿ

Find the equation for the geometric sequence with the following terms:

a₂ = -12, a₅ = -96

• a_n = 2(-6)ⁿ

• a_n = 2(-6)^n-1

• a_n = -6(2)^n-1

• a_n = -6(2)ⁿ