An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference, denoted by 'd'. For example, 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.


- Enhances problem-solving skills
- Improves understanding of arithmetic progressions
- Develops mathematical reasoning and logical thinking
- Prepares students for exams and competitive tests
- Builds confidence in solving questions related to arithmetic progressions




To find the nth term of an arithmetic progression, we can use the formula:
a_n = a₁ + (n-1)d
where a_n is the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Example question: Find the 10th term of the AP 3, 7, 11, 15, ...


The sum of the first 'n' terms of an arithmetic progression can be calculated using the formula:
S_n = (n/2)(a₁ + a_n)
where S_n is the sum, a₁ is the first term, a_n is the nth term, and n is the number of terms.

Example question: Find the sum of the first 20 terms of the AP 2, 5, 8, 11, ...


To find the number of terms in an arithmetic progression, we can use the formula:
n = (a_n - a₁)/d + 1
where n is the number of terms, a_n is the nth term, a₁ is the first term, and d is the common difference.

Example question: How many terms are there in the AP 3, 7, 11, 15, ... if the last term is 83?


To find the common difference in an arithmetic progression, we can subtract any two consecutive terms.

Example question: Find the common difference in the AP 4, 9, 14, 19, ...


Practicing questions on arithmetic progressions helps develop a strong understanding of the topic and improves problem-solving skills. By using formulas and techniques specific to arithmetic progressions, students can efficiently solve questions related to finding the nth term, sum of terms, number of terms, and common difference in an AP. Regular practice