Download the Arithmetic Progression MCQs with Free PDF for PPSC, FPSC, PMS, NTS, KPKPSC, and SPSC exam
An arithmetic progression (AP) is a sequence of numbers where the difference between any two consecutive terms is constant. This constant difference is called the common difference.
For example, the sequence 2, 4, 6, 8, 10, 12 is an arithmetic progression with a common difference of 2.
The first term of an arithmetic progression is usually denoted by a and the common difference is denoted by d. The nth term of an arithmetic progression can be found using the following formula:
an = a + (n - 1)d
where an is the nth term, a is the first term, and d is the common difference.
The sum of the first n terms of an arithmetic progression can be found using the following formula:
Sn = n/2[2a + (n - 1)d]
where Sn is the sum of the first n terms, a is the first term, and d is the common difference.
Arithmetic 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 arithmetic progressions in everyday life:
The sequence of positive even integers
The sequence of Fibonacci numbers
The sequence of prime numbers
The sequence of monthly payments on a loan
The sequence of prices of a product that is being discounted every week
The sequence of notes in a musical scale
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