Sequences & Exponential Functions

A formula that requires the computation of all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

What is the 15th term of the sequence an = 50-3(n-1)

• 92

• -8

• 8

• -92

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

Identify the common difference.

-6, -3, 0, 3, 6....

• 4

• 3

• -4

• -3

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

What does a₁ represent?

• Any term

• First term

• Last term

Find $a_4$  for the sequence 2, 9, 16, 23, 30,...

• 16

• 23

• 4

• 30

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

What is the recursive rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1
• a_n = 11x 2
• a_n = 11(2)^n-1
• a_n = 2a_n-1