Arithmetic Sequence Regents

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the common difference?

Find the common difference: -18, -23, -28, -33, ...

• d = -5

• d = 5

• d = -3

• d = 3

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

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28

• -21, -25, -29

• -23, -28, -33

• -24, -29, -32

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63

• 49, 59, 69

• 39, 49, 59

• 59, 69, 79

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81

• 79, 88, 97

• 70, 79, 88

• 61, 70, 79

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

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216

• -148

• -146

• -150

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes

• No

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes

• No