Algebra IIB Recursive and Explicit Formula Review

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

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
where n ≥ 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

What is the 7th term in the series? 15, 35, 55...

• 155
• 135
• 132
• 75

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

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

• u_n = 3 + 5n
• u_n = -2 + 5n

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.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

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
• a_n+1 = a_{n *} 2;  a₁ = 11

Find the first four terms of the sequence.

a_n= 2a_(n-1) + n where a₁= 0

• 0, 0, 0, 0

• 0, 1, 4, 12

• 0, 1, 2, 4

• 0, 2, 4, 8

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.3