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5. An arithmetic sequence has a 10 th term of 17 and a 14 term of 30. Find the common difference. 6. An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference. 7. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 1 8. A theater has 32 rows of seats.

Arithmetic Sequence and Series Word Problems 1. 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’s the total number of passengers in the first 7 carriages? 2. A writer wrote 890 words on the first day, 760 words on the ...

8. Find the sum of the arithmetic series. 17 + 27 + 37 +...+ 417. 9. An arithmetic series has five terms. The first term is 2 and the last term is 32. Find the sum of the series. 10. In an arithmetic sequence, the first term is –2, the fourth term is 16, and the E!" term is 11 998. (a) Find the common difference d. (b) Find the value of n. 11.

of an arithmetic series. The sixth row has 23 seats and the fifteenth row has 50 seats. a) Find the number of seats in the first row. The theatre has 20 rows of seats in total. b) Find the number of seats in this theatre. 8 , 730 row 1 row 2 row 4 row 3 row 20 row 5

arithmetic sequence. a. Write a rule for the number of cells in the nth ring. b. What is the total number of cells in the honeycomb after the 9th ring is formed? (Hint: Do not forget to count the initial cell.) 3. Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and ...

This batch of pdf worksheets has word problems depicting a list of numbers with a definite pattern. Instruct students to read through the arithmetic sequence word problems and find the next three terms or a specific term of the arithmetic sequence by using the formula a n = a 1 + (n - 1)d. Give your understanding of this concept a shot in the ...

6. thAn arithmetic sequence has a 10 term of 17 and a 14th term of 30. Find the common difference. 7. Find the sum of the first 100 odd numbers 8. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 9. The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12.

WORKSHEET_ Arithmetic Sequence & Series Word Problems - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document provides information about arithmetic sequences and series including formulas for finding the nth term and the sum of terms. It gives examples of arithmetic sequences and series and exercises for working with arithmetic sequences and series including ...

An arithmetic sequence has a 10th term of 17 and a 14th term of 30. Find the common difference. 7. Find the sum of the first 100 odd numbers 8. Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, … 9. The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12.

Sequences and Series IB Problems Worksheet Name 1.. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. 2. Gwendolyn added the multiples of 3, from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s. Calculate s. 3. The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12.

Arithmetic Sequence and Series Word Problems 1. 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’s the total number of passengers in the first 7 carriages? 2. Danika wrote 890 words on the first day, 760 words on the second ...

The document contains a series of word problems involving arithmetic sequences and series. It provides examples of finding common differences, expressions for the nth term, sums of finite arithmetic sequences, and evaluating finite series summations. The problems cover a range of skills including writing recurrence relations, solving equations to find unknown constants, proving identities, and ...

named in the problem, and the recursive formula. 5) a n n Find a 6) a n n Find a Given two terms in an arithmetic sequence find the common difference, the explicit formula, and the recursive formula. 7) a and a 8) a and a Find the missing terms in each arithmetic sequence.

Complete each problem. 1. Write the correct definition for each vocabulary word. used to determine any specific term in a sequence each number in a sequence ... If 54 is the 21st term in an arithmetic sequence with a first term of 4, what is the common difference of the sequence? 16. Jesse borrowed some money from his parents to buy an Xbox 360 ...

arithmetic_series_word_problems - Free download as Word Doc (.doc), PDF File (.pdf), Text File (.txt) or read online for free. This document provides 20 practice problems involving arithmetic sequences and series. The problems cover topics like writing terms of sequences, graphing sequences, finding sums of sequences using the arithmetic series formula, and solving word problems involving ...

5. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 6. The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a 1, and the common difference, d, of the sequence. 7. How many terms of the arithmetic sequence {, ï,,,…} will give a sum of õ ò í? 8.

Unit 2 5.6 Arithmetic Sequence Word Problems Name: _____ 4. A house worth $350,000 when purchased was worth $335,000 after the first year and $320,000 after the second year. If the economy does not pick up and this trend continues, what will be the value of the house after 6 years? 5. A runner begins training by running 5 mi. one week.

Our free, printable worksheets with arithmetic series word problems are a mirror held to real-life applications of arithmetic series. Take a look at this scenario. Alice, an editor, has to proofread a 36-page article. She edits 1 page on the first day, 3 pages on the second day, 5 pages on the third day, and so on. How many days will the job ...

ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM EXAMPLES All final solutions MUST use the formula. 1. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 1 O weeks.

ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM EXAMPLES All final solutions MUST use the formula. 1. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks.