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Practice Maharashtra State Board Class 10 Maths 1 Chapter 3 – Arithmetic Progression with this chapter-wise worksheet with answers. The worksheet provides additional practice on AP concepts and helps students apply important formulas correctly.
This Class 10 Arithmetic Progression worksheet is useful for homework, classroom practice, revision, class tests, prelims and Maharashtra SSC Board exam preparation.
The worksheet includes questions on identifying an Arithmetic Progression, finding the common difference, nth term, missing terms, number of terms, sum of terms and application-based problems.
An Arithmetic Progression is a sequence in which the difference between consecutive terms remains constant. Students learn to identify an AP, find any required term and calculate the sum of a given number of terms.
nth term:
tₙ = a + (n − 1)d
Sum of first n terms:
Sₙ = n/2 [2a + (n − 1)d]
When the last term l is known:
Sₙ = n/2 (a + l)
Need help with the chapter? Read our Class 10 Maths 1 Chapter 3 Arithmetic Progression Solutions for concept revision and step-by-step solutions before attempting the worksheet.
A sequence is an Arithmetic Progression when the difference between consecutive terms remains constant.
The common difference is the constant difference between any term and the term immediately before it.
The nth term is tₙ = a + (n − 1)d, where a is the first term and d is the common difference.
The formula is Sₙ = n/2 [2a + (n − 1)d].
tₙ represents a particular term of the AP, while Sₙ represents the sum of the first n terms.
Yes. If the common difference is negative, the terms of the Arithmetic Progression decrease.
Yes. Answers are included so students can check their work after completing the worksheet.
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