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Arithmetic Progression — Practice Quiz

Maharashtra Board · Class 10 · Mathematics

Try a 4-question quiz on Arithmetic Progression for Maharashtra Board Class 10 Mathematics: tap an answer to check it and see why.

44 questions25 flashcards4 formulas & key relations5 concepts

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Quick Quiz: Arithmetic Progression

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1

Find the 10th term of the A.P. 7, 12, 17, 22, ...

2

In the A.P. 4, 7, 10, 13, ..., what is the common difference?

3

Find the sum of first 15 terms of A.P. 2, 5, 8, 11, ...

4

If the 5th term of an A.P. is 14 and 9th term is 22, find the first term.

44 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following sequences are arithmetic progressions?

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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).

2multiple correct

Which statements about arithmetic progressions are correct?

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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.

3multiple choice

The sum of first n natural numbers is given by the formula n(n+1)/2. Find the sum of first 20 natural numbers.

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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.

4multiple choice

In an A.P., if first term is 8 and common difference is -3, find the 6th term.

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-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)

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Frequently Asked Questions

What are the important topics in Arithmetic Progression for Maharashtra Board Class 10 Mathematics?
Key topics in Arithmetic Progression include Sequence and A.P. Basics, nth Term of an A.P., Sum of First n Terms of an A.P., Special Word Problems and Patterns. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many practice questions are there for Arithmetic Progression?
There are 44 questions on Arithmetic Progression. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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