Level 3: Arithmetic and Geometric

Find the 5th term. If the first term is 10 and the common ratio is 5

• 115

• 200

• 6250

• 31250

Tags

CCSS.HSF.BF.A.2

Find the 22th term. If the first term is 10 and the common difference is 5

• 115

• 200

• 6250

• 31250

Tags

CCSS.HSF.BF.A.2

Given the sequence:

125, 25, 5, ....

Write the explicit rule:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)⁽ⁿ⁾

• a_n = 125 + 5n

Tags

CCSS.HSF.BF.A.2

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

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

Determine the first 3 terms of the following sequence.

t₁= -3

t_n=t_n-1(3)

• -3, 9, 27

• -3, -9, -27

• -3, -6, -9

• -3, 6,9

Tags

CCSS.HSF.BF.A.2

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

Tags

CCSS.HSF.LE.A.2

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

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

Tags

CCSS.HSF.BF.A.2