Sequences and Patterns

Geometric Sequences

1. The 1st term in the geometric sequence below is −13. If it can be determined, what is the 6th term?

Geometric sequences

2021 April(D05) Math Question 1

2011 June(69F) Math Question 2

2019 April(B04) Math Question 5

5. The first term is 1 in the geometric. sequence 1, —3, 9, —27, .... What is the SEVENTH, term of the geometric sequence?

2014 June(72C) Math Question 5

2012 June(70C) Math Question 10

23. The mass of a certain type of bacteria grows exponentially, doubling every 20 minutes. What was the mass, in milligrams, of the bacteria exactly 2 hours after the mass first reached 10 milligrams?

2021 June(D06) Math Question 23

26. The 1st and 2nd terms of a certain geometric sequence are 10 and —5, respectively. What is the 5th term of the geometric sequence?

2018 April(A09) Math Question 26

31. The 1st term of a geometric sequence is 27, and the 4th term is 64. In terms of n, what is the nth term of the sequence?

2020 December(D03) Math Question 31

2009 April(66F) Math Question 32

2012 April(70G) Math Question 33

41. Beginning next year, Mr. Santana will increase the number of bulbs in the garden each year so that the numbers form a geometric sequence. In 3 years, there will be 162 bulbs in the garden. By what factor will the number of bulbs be multiplied each year?

2016 December(74H) Math Question 41

46. As x continually increases in value without bound, the

2018 April(A09) Math Question 46

2010 April(68G) Math Question 49

50. What is the sixth term of the geometric sequence whose second term is —4 and whose fifth term is 32 ?

Geometric SequencesSequences and PatternsACT math questions

2021 April(D05) Math Question 1

2011 June(69F) Math Question 2