Recursive & Explicit Sequences-Arithmetic

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

A formula where you need the previous term and the common difference to find the value of a_{n (the nth term)}.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

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

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Tags

CCSS.HSF.IF.A.3

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

Identify the common difference.

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

• d=4

• d=3

• d=-4

• d=-3

Determine the common difference of

100, 75, 50, 25, ...

d=

Mathematical Equivalence

OFF

What is the common difference of

2.3, 4.2, 6.1, 8, ...

d=

Mathematical Equivalence

ON

• 95

• -5

• 5

• -95

Which of the following equations is explicit?