Find Any Term in an Arithmetic Sequence Use the Formula

Use the recursive definition to find the first four terms of the arithmetic sequence it defines.

A(n) = A(n – 1) – 11; A(1) = 3

• 3, -8, -19, -30, ...

• -11, -8, -5, -2, ...

• 3, 14, 25, 36, ...

• -11, -14, -17, -20, ...

Tags

CCSS.HSF.BF.A.2

The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common difference of the arithmetic sequence?

• 120

• 12

• 10

• 5

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence:

-33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Tags

CCSS.HSF.BF.A.2

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216

• -148

• -146

• -150

Tags

CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515

• -490

• -535

• 460

Tags

CCSS.HSF.BF.A.2

Identify the common difference. 
10, 20, 30, 40, ...

• 5

• 10

• 15

• 20

Tags

CCSS.HSF.BF.A.2

What is the 38th term of this arithmetic sequence? {26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence: 2, 8, 14, ...

(Hint: Use the common difference AND the zero term!.)

• a_n = 6n + 2

• a_n = 6n - 6

• a_n = 6n - 4

• a_n = -6n + 4

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

The individual numbers in a sequences are called...

• Common difference

• Successive term

• Term

• Geometric term

Tags

CCSS.HSF.BF.A.2