Alg Day 3 Arithmetic Sequence

Arithmetic Sequence

By Darryl Padgett

Draw

Guess what is written in this picture.

Multiple Choice

Which of the following is an example of an arithmetic sequence?

Hint: Look for the common difference.

• 4, 8, 16, 32, 64

• 1, 2, 4, 7, 11

• 15, 13, 11, 9, 7

• 3, 6, 12, 24, 48

Draw

Using the recursive sequence, create a recursive formula format A_n = A_n-1 ± d to generate the recursive formula.

18, 10, 2, -6, …

Multiple Choice

Select the explicit rule that represents the sequence.

• a_n = 14(-3)(n - 1)

• a_n = 3 + (n - 1)(14)

• a_n = 14 + (n - 1)(-3)

• a_n = -3 + (n - 1)(14)

Multiple Choice

Select the explicit rule that represents the sequence.

• a_n = 6 + 5(n - 1)

• a_n = 4 + 6(n - 1)

• a_n = 6 - 4(n - 1)

Multiple Choice

Which term of the arithmetic sequence 4,1,-2,-5......is -29?

Hint: find d first and substitute it into recursive formula and solve for n

• 9th term

• 10th term

• 11th term

• 12th term

Fill in the Blanks

Multiple Choice

Write the RECURSIVE rule for the arithmetic sequence

-49, -35, -21, -7, ...

• a₁ = -49;

  a_n = a_n-1 + 10

• a₁ = -7;

  a_n = a_n-1 + 14

• a₁ = -49;

  a_n = a_n-1 + 14

• a₁ = -49;

  a_n = a_n-1 -14

Poll

• 1

• 2

• 3

• 4