Year 12 General Mathematics: Geometric Sequences and Lat/Long

Given the geometric sequence 2, 6, 18, ..., what is the common ratio?

• 2

• 3

• 4

• 6

Find the 5th term of the geometric sequence 3, 12, 48, ...

• 192

• 384

• 768

• 1536

What is the latitude of Brisbane, Queensland?

• 27.4698° S

• 31.9505° S

• 25.3444° S

• 23.6980° S

Which city is closest to 20.9176° S, 142.7028° E?

• Townsville

• Cairns

• Mount Isa

• Mackay

If the first term of a geometric sequence is 5 and the common ratio is 3, what is the 4th term?

• 45

• 135

• 40

• 120

The coordinates for Cairns, Queensland are:

• 16.9186° S, 145.7781° E

• 27.4698° S, 153.0251° E

• 20.9176° S, 142.7028° E

• 23.6980° S, 133.8807° E

Given the geometric sequence 10, 20, 40, ..., what is the 6th term?

• 320

• 640

• 1280

• 2560

Which city is closest to 27.4698° S, 153.0251° E?

• Brisbane

• Gold Coast

• Sunshine Coast

• Toowoomba

Find the common ratio of the geometric sequence 1, -3, 9, -27, ...

• -3

• 3

• -1

• 1

What is the 7th term of the geometric sequence 2, -4, 8, -16, ...?

• -128

• 128

• -64

• 64