Math 1 Unit 1- Arithmetic Sequences Practice

What is the pattern?

• Adding 3 blocks every 1 minute

• Adding 2 blocks every 1 minute

• Tripling the number of blocks every 1 minute

• Taking away 2 blocks every 1 minute

Tags

CCSS.HSF.BF.A.2

Which of the following is the recursive formula for the given pattern?

• a_n+1 = a_n + 2
  a₁ = 1

• a_n+1 = a_n - 2
  a₀ = 1

• a_n+1 = a_n + 2
  a₀ = 1

• a_n+1 = 3a_n
  a₁ = 1

Tags

CCSS.HSF.IF.A.3

Which of the following is the explicit formula for the pattern?

• a_n = 1 + 2(n)

• a_n = 1 + 2(n-1)

• a_n = 1 - 2(n)

• a_n = 1 - 2(n-1)

Tags

CCSS.HSF.BF.A.2

How many blocks will there be after 8 minutes?

Tags

CCSS.HSF.BF.A.2

Given the sequence: -10, -7, -4, -1, 2, ...
State the recursive formula.

• a_n+1 = a_n - 3
  a₁ = -10

• a_n+1 = a_n - 3
  a₀ = -10

• a_n+1 = a_n + 3
  a₀ = -10

• a_n+1 = a_n + 3
  a₁ = -10

Tags

CCSS.HSF.BF.A.2

State the explicit formula for the given sequence: -10, -7, -4, -1, 2, ...

• a_n = -10 + 3(n)

• a_n = 3 - 10(n-1)

• a_n = -10 + 3(n-1)

• a_n = -10 - 3(n)

Tags

CCSS.HSF.BF.A.2

Find the 10th term in the sequence: -10, -7, -4, -1, 2, ...

Tags

CCSS.HSF.BF.A.2

Given the recursive formula a_n = a_n-1 - 2; a₁ = -6
State the first four terms of the sequence.

Tags

CCSS.HSF.BF.A.2

The auditorium at Cary High School has 32 seats in the first row, 36 seats in the second row, 40 seats in the third row, and so on. The auditorium has 24 rows of seats.
Write an explicit equation that can be used to find the number of seats in each row.

• a_n = 32 - 4(n)

• a_n = 32 + 4(n-1)

• a_n = 32 + 4(n)

• a_n = 4 + 32(n-1)

Tags

CCSS.HSF.BF.A.2

The auditorium at Cary High School has 32 seats in the first row, 36 seats in the second row, 40 seats in the third row, and so on. The auditorium has 24 rows of seats.

Find the number of seats in the 24th row of the auditorium.

Tags

CCSS.HSF.BF.A.2