Arithmetic Sequence: Word Problems

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

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CCSS.HSF.BF.A.2

Inday earned 240 pesos in the first week, 350 in the second week and 460 in the third week, and so on in an arithmetic

sequence. How much did he earn in the 5th week?

• 570

• 680

• 790

• 900

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CCSS.HSF.BF.A.2

The first row of a lecture hall has 20 seats and each row after the first has two more seats than the row before it. There are 30 rows of seats. Find the total number of seats in the lecture hall.

• 1470

• 1740

• 1074

• 1047

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CCSS.HSF.BF.A.2

Bricks are stacked in a pile with 24 bricks on the bottom row and 15 on the top row with each row having one more brick than the one above it. How many rows are there in all?

• 7

• 8

• 9

• 10

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CCSS.HSF.BF.A.2

There are 130 students in grade one, 210 students in grade two and 290 students in grade three in Masipag Elementary School, and so on in an arithmetic sequence. What’s the total amount of students in grade 6?

• 370

• 450

• 530

• 610

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CCSS.HSF.BF.A.2

A display of 108 cans contains 24 cans in the bottom row; 21 cans in the next row, and so on in an arithmetic sequence. Find the number of rows in the display.

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CCSS.HSF.BF.A.2

What is the sum of the perimeters of the first 14 triangles in the arithmetic sequence of equilateral triangles if the first triangle whose side is 2cm, the second triangle whose side is 4 cm and the third triangle is whose side is 6 cm and so on.

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CCSS.HSF.BF.A.2

What is the sum of the first 100 counting numbers?

After surgery, Michael was advised by his instructor to return to his body building program gradually. His instructor suggested weight lifting for 15 minutes each day for the first week. Each week after that, he recommended to augment that time by 5 minutes per day. How many weeks will it take for Michael to reach 60 minutes per day of weight lifting session?

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CCSS.HSF.BF.A.2

Differentiate Sequence from Series.

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CCSS.HSF.BF.A.2