### Download the Geometric Progression MCQs with Free PDF for PPSC, FPSC, PMS, NTS, KPKPSC, and SPSC exam

A geometric progression (GP) is a sequence of numbers where each term is multiplied by a constant value, called the common ratio. This constant ratio is usually denoted by $r$.

For example, the sequence 2, 4, 8, 16, 32 is a geometric progression with a common ratio of 2.

The first term of a geometric progression is usually denoted by $a$. The nth term of a geometric progression can be found using the following formula:

where $an$ is the nth term, $a$ is the first term, and $r$ is the common ratio.

The sum of the first n terms of a geometric progression can be found using the following formula:

where $Sn$ is the sum of the first n terms, $a$ is the first term, and $r$ is the common ratio.

Geometric progressions are used in many different areas of mathematics, including number theory, probability, and statistics. They are also used in many practical applications, such as finance, engineering, and music.

Here are some examples of geometric progressions in everyday life:

- The sequence of Fibonacci numbers
- The sequence of powers of 2
- The sequence of interest rates on a loan
- The sequence of discounts on a product
- The sequence of notes in a musical scale

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