Exploring Arithmetic and Geometric Progressions

What is an Arithmetic Progression (AP)?

• A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number.

• A sequence of numbers in which the difference of any two successive members is 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.

What is a Geometric Progression (GP)?

• A sequence of numbers where each term after the first is found by adding a fixed, non-zero number.

• A sequence of numbers in which the ratio of any two successive members is a constant.

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

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

What is the common difference in an Arithmetic Progression (AP)?

• The difference between the first and last term.

• The constant value added to each term to get the next term.

• The ratio of the first term to the second term.

• The sum of the first and last term.

What is the common ratio in a Geometric Progression (GP)?

• The difference between the first and last term.

• The constant value added to each term to get the next term.

• The constant value multiplied to each term to get the next term.

• The sum of the first and last term.

How is the nth term of an Arithmetic Progression (AP) calculated?

How is the nth term of a Geometric Progression (GP) calculated?

Which of the following is an application of AP in engineering?

• Designing gears with exponential growth.

• Calculating the depreciation of machinery.

• Designing circuits with constant resistance.

• Calculating the growth of bacteria.

Which of the following is an application of GP in engineering?

• Calculating the depreciation of machinery.

• Designing circuits with exponential growth.

• Calculating the growth of bacteria.

• Designing gears with constant resistance.