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- Given this pattern continues, is the sequence 2, 4, 8,16,,,, a geometric sequence?
- Yes
- No

- Given 2, 8, 32..... is a geometric sequence could 231 be a term in this sequence?
- Yes
- No

- Given the first term of a geometric sequence is 23 and the common ratio is 2, what is the 3rd term?
- 46
- 92
- 69

- What are the next 3 terms of the geometric sequence 729, 243 and 81, assuming the pattern continues?
- 162, 0 , -162
- 78,75, 72
- 9, 3, 1
- 27, 9, 3

- Calculate the common ratio r of this sequence if the first term is 5 and the 8th term is 640.
- 40
- 2
- 64

- The seventh term of a geometric sequence is 1458 and the fourth term is 54. What are the possible values for a and r?
- a =1 and r =3
- a =2 and r = 3
- a = -2 and r = -3

- Given the 6th term of a geometric sequence is 486, which of the following is false?
- a = -2 r= -3
- a = 2 r = -3
- a =2 r =3

- For all geometric sequences is the n+1 th term divided by the nth term always a constant?
- Yes
- No

- Is the Fibonacci sequence {1,1,2,3,5,8,13,21,,,,, } a geometric sequence?
- Yes
- No

- What is the first term of the geometric sequence 2, 4, 8,16 that is greater than 200 equal to?
- 202
- 256
- 201
- 512

- If one continually folds a square piece of paper of area 64 cm squared in half, does the list of the visible areas form a geometric sequence?
- No
- Yes

- Given a is the first term of a geometric sequence and 2 is the common ratio, what is the 5th term in terms of a?
- 32a
- 16a
- 5a
- 4a

- The 5th term of a geometric sequence is 243 and the 6th term of the same sequence is 729, what is the value of a the second term of this sequence?
- 3
- 2
- 9

- Given "r" the common ratio is a positive integer, does each consecutive term in the geometric sequence get smaller or larger?
- Smaller
- Larger.

- Given "r" the common ratio is a positive fraction less than 1 and a the first term is an positive integer does each consecutive term in the geometric sequence get smaller or larger?
- Smaller
- Larger

- Given "r" the common ratio is negative then each term in the geometric sequence is negative.
- True
- False

- Given "a" the first term is negative and "r" the common ratio is positive then all the terms in the geometric sequence will be negative.
- True
- False

- Given an investment of €100 in a bank earns interest at the rate of 10% each year does the sequence generated by the value of the investment after n years form a geometric sequence.
- True
- False

- Given the number of bacteria in a Petri dish is 10 and they double themselves every minute, does the number of bacteria in the Petri dish after n minutes form a geometric sequence?
- No
- Yes

- Given the number of bacteria in a Petri dish is 10 and they double themselves every minute, how many bacteria will be in dish after 6 minutes?
- 32000
- 60
- 320
- 640

(c) Project Maths Development Team