Algebra Sequences

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
  a₁=17

• a_n = a_n-1 - 17
  a₁=17

• a_n = a_n-1 - 15
  a₁=17

• a_n = a_n-1 - 16
  a₁=17

Tags

CCSS.HSF.BF.A.2

Which of the following sequences has the recursive rule a_n = a_n-1 - 5

• {-19,-14,-9,-4,1, …}

• {9,4,-1,-6,-11, …}

• {-4,-20,-100,-500,-2500, …}

• {-12500,-2500,-500,-100,-20, …}

Tags

CCSS.HSF.BF.A.2

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

Tags

CCSS.HSF.BF.A.2

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

Tags

CCSS.HSF.BF.A.2

What is the 67^th term of the following arithmetic sequence.

13, 22, 31, 40, ...

• -445

• 67

• 625

• 607

Tags

CCSS.HSF.BF.A.2

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Tags

CCSS.HSF.BF.A.2

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Tags

CCSS.HSF.BF.A.2

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

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Tags

CCSS.HSF.BF.A.2