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

What is the common difference?

• −16
• 84
• 16
• 0

Find f(6) or a₆ for this situation.

• 60
• 160
• 280
• 150

Write the first four terms in the sequence.

• 12, 14, 16, 18
• 12, 10, 8, 6
• 14, 12, 10, 8
• 14, 16, 18, 20

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

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

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

• 7, 9, 11, 13
• 5, 7, 9, 11
• 7, 5, 3, 1
• 5, 3, 1, −1

Which of the following is a correct description of an arithmetic sequence?

• A term is obtained by multiplying a constant number from the preceding term.

• A term is obtained by squaring the preceding term. c. A term is

• A term is obtained by adding a constant number to the preceding term.

• A term is obtained by extracting the square root of the preceding term.

Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, …?

• 0

• 1

• 2

• 3