Arithmetic Series Application

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

Tags

CCSS.HSF.BF.A.2

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 cans in the next row and so on in an arithmetic sequence, until the top row has 4 cans.

How many rows are there on the display?

• 7 rows

• 8 rows

• 9 rows

• 10 rows

Tags

CCSS.HSF.BF.A.2

A pile of bricks has 97 bricks in the first row, 91 bricks in the second row, 85 bricks in the third row, and so on until there is only one brick in the top row.

How many bricks are in the 15th row?

• 0 bricks

• 1 brick

• 7 bricks

• 13 bricks

Tags

CCSS.HSF.BF.A.2

Evaluate the arithmetic series described:
11 + 18 + 25 + 32..., S₇

• 225

• 450

• 384

• 224

• 8

• 5

• 3

• 1

Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S₁₀

• -160

• -328

• -320

• -336

Evaluate the arithmetic series described:
28 + 38 + 48 + 58..., S₇

• 1644

• 812

• 406

• 3290

Evaluate the arithmetic series described:
14 + 23 + 32 + 41..., S₁₁

• 1296

• 1298

• 2604

• 649

Evaluate the arithmetic series described:
0 - 7 - 14 - 21..., S₁₇

• -959

• -1904

• -952

• -1918

Evaluate the arithmetic series described:
1 + 3 + 5 + 7..., S₈

• 116

• 58

• 64

• 128