Arithmetic Sequences and Series

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence. HINT: It is an arithmetic Sequence

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Identify the common difference in the given arithmetic sequence.

10, 20, 30, 40, ...

• 5

• 10

• 15

• 20

Which formula represents this arithmetic sequence:

• 4n

• n + 6

• 3n + 2

• 5n - 2

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190

• 165, 185, 195

• 155, 165, 175

• 190, 175, 160

What is the next term of this arithmetic sequence 3, 6, 9, 12?

• 13

• 14

• 15

• 16

Which of the following is an arithmetic sequence?

• 2,3,5,8

• 2,7,12,17

• 1,1,2,3,5

• 2,4,8,16

What is the common difference of this arithmetic sequence? 1,4,7,10,...

• 3

• 2

• 4

• 5

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.

If the theater has 20 rows of seats, how many seats are in the 20th row of the theater?

• 172 seats

• 180 seats

• 188 seats

• 212 seats

There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the third carriage, and so on in an arithmetic sequence. What is the total number of passengers in the 7th carriage?

• 225

• 250

• 275

• 300