Making Explicit and Recursive Formulas

Find the first four terms of the sequence. a_n= a_(n-1) - 18 where a₁=10

• 18, 8, -2, -12

• 28, 46, 64, 82

• -8, -26, -44, -60

• 10, -8, -26, -44

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

Given the following sequence, what is a₅?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Find the first four terms of the sequence.

a_n+1= a_n + 9 where a₁= -2

• -2, -11, -20, -29

• 9, 7, 5, 3

• -2, 7, 16, 25

• 9, 18, 27, 36

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

Given the recursive formula below, find the explicit formula.  
a₁ = 5
a_n = a_n-1 - 6

• a_n = 5 - 6n 

• a_n = 11 - 6n 

Given the explicit equation below, write the linear equation.
u_n = 7 - 3n

• y = 7 - 3x

• y = 10 - 3x 

How does a linear equation relate to the explicit formula?  

• the initial value is the common difference

• the initial value is the slope

• the initial value is the y-intercept

• the y-intercept is u₁

Write a Next/Now rule for the table.

• Next=Now + 6 Starting at 2

• Next=Now + 6 Starting at 0

• Next=Now × 4 Starting at 2

• Next=Now × 4 Starting at 0

Write a Next/Now rule for the table.

• Next=Now + 4 Starting at 2

• Next=Now + 4 Starting at 0

• Next=Now × 3 Starting at 2

• Next=Now × 3 Starting at 0