Recursive and Explicit Formula

What is the next term in the sequence 12, 31, 40, 49, ... ?

• 56

• 57

• 58

• 59

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Given the recursive formula below, find the first five terms.

u₁ = 3

u_n = u_n-1 + 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

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

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The 6th term of the sequence 4,7,10,13 are

• 19

• 15

• 18

• 16

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

A sequence is _______.

• a set of numbers in a specific order.

• a formula used to find a number.

• the term after a_n.

• a collection of data.

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Which sequence has a pattern of "multiply by 4?"

• 2, 4, 8, 16,...

• 4, 12, 36, 108,...

• 1, 4, 7, 10,...

• 3, 12, 48, 192,...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the first four terms of the sequence.

a_n= 7(n + 2)

• 21, 28, 35, 42

• 7, 9, 11, 13

• 9, 16, 23, 30

• 16, 23, 30, 37

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1