Arithmetic and Geometric Sequences Recursive and Explicit Formulas

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = 25 +(-4)(n-1)

• a_n = -25 +(-4)(n-1)

• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence -4, -6, -8, -10,...

• a_n = -4 + (-2)(n-1)

• a_n = 4 + (-2)(n-1)

• a_n = -4 - 2(n-1)

• a_n = -4 + 2(n-1)

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence:

3, 15, 75...

• 12

• 1/5

• 5

• 4

Tags

CCSS.HSF.BF.A.2

What is the explicit rule for the sequence:

11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x2

• a_n = 11(2)^n-1

• a₁ = 11 ; a_n+1 = a_{n *} 2

Tags

CCSS.HSF.LE.A.2

What is a₁?
3, 15, 75, 375, 1875...

• 3
• 3/5
• 5
• 1875

Tags

CCSS.HSF.BF.A.2

Given the sequence 4, 11, 18, 25...... what is a₃ ?

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

What is a₁₀ for the sequence

4, 4.5, 5, 5.5, 6.....

• 6

• 6.5

• 8.5

• 9.5

Tags

CCSS.HSF.BF.A.2

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95

Tags

CCSS.HSF.BF.A.2