Sequences and Patterns

Arithmetic Sequences

6. Ricardo started a savings account for his daughter Ruth by depositing $500  into the account for her 1st  birthday. For each successive birthday, Ricardo deposits $200  more than the amount deposited for the previous birthday. This is the only money deposited into the account. What is the total amount of money Ricardo will have deposited into the account for Ruth up to and including her 6th birthday?

Arithmetic sequences

2021 December(E23) Math Question 6

7. On the first day of school, Ms. Dubacek gave her third-grade students 6 new spelling words to learn. On each day of school after that, she gave the students 3 new spelling words. How many new spelling words had she given the students by the end of the 21st day of school?

2021 June(D06) Math Question 7

12. The 220 graduating seniors of Madison- High School will sit in the center section of the school auditorium at the graduation ceremony. How many rows of seats will be needed to seat all of the graduating seniors if the first row has 10 seats and each succeeding row has 2 more seats than the previous row?

2018 April(A09) Math Question 12

2020 July(C01) Math Question 14

2011 April(67F) Math Question 23

26. In an arithmetic sequence, the 10th term (a10 ) is 30 and the common difference is 2. What is the 1st term (a1 ) ?

2021 December(E23) Math Question 26

27. How many seats are in the 8th row of the auditorium?

2014 December(72G) Math Question 27

2010 December(69A) Math Question 37

2019 December(C03) Math Question 49

2012 June(70C) Math Question 50

2021 June(D06) Math Question 52

53. The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term of the sequence?

2017 April(74F) Math Question 53

54. The first 4 elements of a pattern are shown below. Each element is composed of small squares that are 18 inches wide and 18 inches long. Each element is a square with both dimensions 18 inches less than the dimensions of the next element. What is the perimeter, in feet, of the 5th element?

Perimeter of Rectangle

Unit Conversions (Feet to inches, miles to feet, hours to seconds)

2020 December(D03) Math Question 54

57. A finite arithmetic sequence has 7 terms, and the first term is 3/4. What is the difference between the mean and the median of the 7 terms?

Arithmetic SequencesSequences and PatternsACT math questions

2021 December(E23) Math Question 6

2021 June(D06) Math Question 7