Complete the Arithmetic Sequence

Complete the Table.

• 25, 32, 39, 46

• 7, 32, 57, 82

• 32, 39, 46, 53

• 7, 14, 21, 28

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

Write the explicit rule for this situation.

• f(n) = 35 + 3(n − 1)

• f(n) = 35 −3(n − 1)

• f(n) = 3 + 35(n − 1)

• f(n) = −3 + 35(n − 1)

Write the recursive rule for this situation.

• f(n) = f(n − 1) + 58, n ≥ 2

• f(n) = 58 + 7(n − 1)

• f(n) = 58 − 7(n − 1)

• f(n) = f(n − 1) + 7, n ≥ 2

What is the common difference?

• −16

• 84

• 16

• 0

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

• 33, 43, 53, 63, 73

• 23, 33, 43, 53, 63

• 23, 230, 2300, 23000, 230000

• 23, 13, 3, −7, −17

The explicit rule for arithmetic sequence is a_n = a₁ + d(n − 1), what does the d represent.

• common denominator

• common difference

• common divider

• uncommon difference

Write the next three terms in the arithmetic sequence.

-27, -17, -7, 3, ...

• 13, 23, 33

• -7, -17, -27

• 10, 17, 27

• 3, 7, 17

What is the common difference of the arithmetic sequence? 41, 33, 25, 17, ...

• +8

• -8

• 7

• -7

Write a linear equation from the arithmetic sequence.

-52, -56, -60, -64, ...

• y = -6x -56

• y = 6x - 52

• y = 4x - 48

• y = -4x - 48