Exploring Geometric Progressions and Series

What is a geometric progression?

• A sequence of numbers where each term after the first is found by adding a constant to the previous term.

• A sequence of numbers where each term after the first is found by multiplying the previous term by a constant.

• A sequence of numbers where each term is the square of the previous term.

• A sequence of numbers where each term is the sum of the previous two terms.

• 2

• 3

• 4

• 6

• 135

• 225

• 405

• 675

• 39

• 81

• 120

• 150

• 1

• 2

• 3

• 4

If the first term of a geometric progression is 7 and the common ratio is 0.5, what is the 6th term?

• 0.21875

• 0.4375

• 0.875

• 1.75

Which of the following is an application of geometric progression in engineering?

• Calculating the depreciation of assets

• Designing electrical circuits with resistors

• Analysing the growth of bacteria

• Modelling the decay of radioactive substances

In a geometric progression, if the 3rd term is 16 and the common ratio is 2, what is the first term?

• 2

• 4

• 8

• 16