Explicit Formulas for Arithmetic Sequences & Review (SHOW WORK)

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -3n+19

• a_n = -5n+13

• a_n = 3n+13

• a_n = -5n+20

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

• 32

• 64

• 127

• 356

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

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

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

Create the arithmetic explicit formula for the sequence:

-8, -6, -4, ...

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

• a_n= - 2+10n

• a_n= -6 + 2n

• a_n= 2n - 10

• a_n= - 6 - 2n

Create the arithmetic explicit formula for the sequence:

23, 7, - 9, ...

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

• a_n= - 16n + 39

• a_n= -16 + 33n

• a_n= 39n - 16

• a_n= - 16 - 39n

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n