Arithmetic Sequences and Recursive Formulas

Identify the common difference.
3, 7, 11, 15, ...

• 6

• 5

• 4

• 2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

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=6n-4

• a_n=4-6n

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

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

• a₁ = 15
  a_n = a_n-1 + 3

• a₀ = 15
  a_n = a_n-1 + 3

• a₁ = 15
  a_n = a_n-1 - 3 

• a₀ = 15
  a_n = a_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

• a_n = 6- 5n

• a_n = 5+n

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

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

• a_n = 3 + 5n

• a_n = -2 + 5n

• a_n = -8 + 5n

• a_n = n+ 5

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n=2+6n

• a_n=-6+6n

• a_n=-4+6n

• a_n=4-6n

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25