Recursive and Explicit Definitions

• one

• first term

• common difference

• the sequence starts with the value 1

• previous term

• first term

• common difference

• the sequence contains only negative numbers

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5
• a₁ = -8 and d = 3
• a₁ = -5 and d = 3
• a₁ = -5 and d = -3

Tags

CCSS.HSF.BF.A.2

Find the common difference of the arithmetic sequence -19, -14, -9, ...

Tags

CCSS.HSF.BF.A.2

20, 10, 5, ... is an arithmetic sequence

• True

• False

Tags

CCSS.HSF.BF.A.2

3, 15, 75, ... is an arithmetic sequence

• True

• False

Tags

CCSS.HSF.BF.A.2

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...

(Hint figure out the explicit definition first then substitute 63 for n)

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

(Hint figure out the explicit definition first then substitute 75 for n)

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

(Hint figure out the explicit definition first then substitute 59 for n)

Which is a *recursive rule* for the nth term in the sequence 15, 8, 1, ...?

Tags

CCSS.HSF.BF.A.2