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Arithmetic Sequences Word Problems

Solve word problems involving arithmetic sequences by identifying patterns and applying formulas.

Grade 7 Math Sequences and SeriesArithmetic Sequences Word Problems
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSF.BF.A.1a

Topics

mathgrade 7arithmetic sequencesword problems
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Arithmetic Sequences Word Problems

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Read each word problem carefully. Identify the arithmetic sequence, determine the common difference, and solve for the unknown.

1. A tree grows 5 cm every year. If it is 120 cm tall now, how tall will it be in 7 years?

2. Sarah saves $15 each week. If she starts with $50, how much money will she have after 10 weeks?

1. In an arithmetic sequence, the difference between consecutive terms is called the  .

2. If the first term of an arithmetic sequence is 3 and the common difference is 4, the fifth term is  .

1. A runner trains by increasing her distance by 0.5 miles each day. If she ran 3 miles on the first day, how far will she run on the 8th day?

a

6 miles

b

6.5 miles

c

7 miles

d

7.5 miles

1. The sequence 2, 4, 8, 16... is an arithmetic sequence.

T

True

F

False

1. A stack of cans has 20 cans in the bottom row, 18 in the next, and so on. If there are 2 cans in the top row, how many rows are there in total?