Arithmetic Series and Applications

It is the number to be added to generate the next term in an arithmetic sequence.

• common difference

• first term

• last term

• number of terms

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.

What is the common difference in the sequence: -4, 3, 10, 17,, …?

• 1

• -7

• 7

• -1

The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.

• 7

• 6

• 5

• 3

Find the missing number in the pattern. 6, 14, ____, 30, 38,...

• 18

• 20

• 24

• 22

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

• Yes
• No

Select the explicit rule that represents the sequence.

• a_n = 14(-3)(n - 1)

• a_n = 3 + (n - 1)(14)

• a_n = 14 + (n - 1)(-3)

• a_n = -3 + (n - 1)(14)

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

• 8, 13, 18
• -8, -13, -18
• -7, -11, -15
• 7, 11, 15

What was the difficulty level of this Do Now?

• Easy

• Average

• Difficult

• Impossible