Arithmetic Progression — Important Questions
Maharashtra Board · Class 10 · Mathematics
44 important questions from Arithmetic Progression for Maharashtra Board Class 10 Mathematics, with answers. Written for the board exams 2027.
Interactive on Super Tutor
Studying Arithmetic Progression? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Arithmetic Progression
Which of the following sequences are arithmetic progressions?
Show answer
3, 6, 9, 12, ..., 5, 5, 5, 5, ..., -2, -5, -8, -11, ...
A.P. has constant common difference. (1) d=3, (2) d=0, (4) d=-3 are A.P. (3) is squares (not constant difference), (5) is G.P. (ratio=3).
Which statements about arithmetic progressions are correct?
Show answer
Common difference can be negative, Common difference can be zero, The middle term is average of first and last terms
d can be negative (decreasing A.P.), zero (constant A.P.), or positive. Terms can be negative. Middle term = (first + last)/2. Sum may decrease if terms are negative.
The sum of first n natural numbers is given by the formula n(n+1)/2. Find the sum of first 20 natural numbers.
Show answer
210
Natural numbers 1, 2, 3, ..., 20 form A.P. with a = 1, d = 1, n = 20. Using formula: Sum = 20(20+1)/2 = 20×21/2 = 210.
In an A.P., if first term is 8 and common difference is -3, find the 6th term.
Show answer
-7
a = 8, d = -3, n = 6. Using tn = a + (n-1)d, t6 = 8 + (6-1)(-3) = 8 + 5(-3) = 8 - 15 = -7.
+40 more questions on Arithmetic Progression (Maharashtra Board Class 10 Mathematics)
Practise AllFrequently Asked Questions
What are the important topics in Arithmetic Progression for Maharashtra Board Class 10 Mathematics?
How many important questions are there in Arithmetic Progression?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Arithmetic Progression
Practice Quiz
Test yourself with a quick quiz
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Study Plan
Step-by-step plan for this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Arithmetic Progression chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 10 Mathematics. Free to start, no card needed.