CLASS 10 · CHAPTER 05

Arithmetic Progressions
Practice Questions

20 curated NCERT & Board Exam questions to test your understanding. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

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Q1MCQ1 Mark

The 10th term of the AP: 2, 7, 12, ... is:

Q2MCQ1 Mark

Which term of the AP: 21, 18, 15, ... is 0?

Q3MCQ1 Mark

The sum of first 20 positive integers is:

Q4MCQ1 Mark

If the nth term of an AP is (3n + 7), then its common difference is:

Q5Assertion-Reason1 Mark

Assertion (A): The sum of first n terms of an AP is given by Sₙ = n/2 [2a + (n-1)d]. Reason (R): The nth term aₙ of an AP can be found using formula aₙ = Sₙ - Sₙ₋₁.

Q6Assertion-Reason1 Mark

Assertion (A): The sequence 4, 10, 16, 22, ... forms an AP with common difference 6. Reason (R): A sequence a₁, a₂, a₃ ... forms an AP if difference (aₖ₊₁ - aₖ) is constant.

Q7Short Answer2 Marks

Find the 11th term from the end of the AP: 10, 7, 4, ..., -62.

Q8Short Answer2 Marks

How many two-digit numbers are divisible by 3?

Q9Short Answer2 Marks

Find the sum of first 15 multiples of 8.

Q10Short Answer2 Marks

If 17th term of an AP exceeds its 10th term by 7, find the common difference.

Q11Short Answer2 Marks

Find the sum: 7 + 10½ + 14 + ... + 84.

Q12Long Answer3 Marks

The 4th and 8th terms of an AP are 24 and 44 respectively. Find the first three terms.

Q13Long Answer3 Marks

How many terms of AP: 24, 21, 18, ... must be taken so that their sum is 78?

Q14Long Answer3 Marks

If the sum of first n terms of an AP is 4n - n², find the 1st term, 2nd term and 10th term.

Q15Long Answer3 Marks

A sum of ₹700 is used to give 7 cash prizes. Each prize is ₹20 less than preceding. Find value of each prize.

Q16Case Study4 Marks

Case Study Scenario: A manufacturer of TV sets produced 600 sets in 3rd year and 700 sets in 7th year. Assuming uniform annual increase. Question: Find total production in first 7 years.

Q17Case Study4 Marks

Case Study Scenario: 200 logs are stacked: 20 in bottom row, 19 in next, 18 in next and so on. Question: Find how many rows are logs placed in and logs in top row.

Q18PYQ5 Marks

If m times mth term of an AP is equal to n times nth term, show that (m+n)th term is 0.

Q19PYQ5 Marks

The ratio of 11th term to 18th term of an AP is 2 : 3. Find ratio of 5th term to 21st term.

Q20PYQ5 Marks

Arithmetic Progressions Practice Questions