AA Bronze Badge #2: Explicit and Recursive Rules

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22
• 17, 19, 21
• 17, 20, 23
• 16, 18, 20 

Tags

CCSS.HSF.BF.A.2

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3
• u₀ = 15
  u_n = u_n-1 + 3
• u₁ = 15
  u_n = u_n-1 - 3 
• u₀ = 15
  u_n = u_n-1 - 3

Tags

CCSS.HSF.BF.A.2

Given the recursive formula below, find the explicit formula.

a₀ = 1

a_n = a_n-1 + 5

• a_n = 6 + 5n

• a_n = 1 + 5n

• a_n = 5 + 6n

• a_n = 5 + n

Tags

CCSS.HSF.BF.A.2

Given the sequence below, write the explicit formula.

3, 8, 13, 18 ...

• u_n = 3 + 5n

• u_n = -2 + 5n

• u_n = 5 + 3n

• u_n = 5 - 2n

Tags

CCSS.HSF.BF.A.2

Given the recursive formula below, write the linear equation.

a₁ = 9

a_n = a_n-1 + 2

• y = 9 + 2n

• y = 7 + 2n

• y = 11 + 2n

• y = 9 - 2n

Tags

CCSS.HSF.BF.A.2

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

Tags

CCSS.HSF.BF.A.2

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

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

For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 

• Arithmetic
• Geometric
• Neither

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