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

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

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)

How many blocks will there be after 8 minutes?

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

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)

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

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

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)

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.