Explicit Formula, Arithmetic Sequences and Recursive Formulas

What is the 40th term in the sequence with the given explicit formula:

4n - 32

• 12

• 138

• 128

• -16

Create the explicit formula for the sequence:

2, 8, 14, ...

(Hint: Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=-4+6n

• a_n=4-6n

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

• a_n = 29+4n

• a_n = 25-4n

• a_n = 29-4n

• a_n = 25+4n

Jonathan has a $1000 loan and pays off $30 every month. Write an explicit function to represent this situation

• f(n) = -30n + 1000

• f(n) = 1000n - 30

• f(n) = -30n + 970

• f(n) = -30n + 1030

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

• 16, 19, 22

• 17, 19, 21

• 17, 20, 23

• 16, 18, 20 

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

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

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

• u_n = 3 + 5n

• u_n = -2 + 5n