Arithmetic Progressions Quiz - CBSE Class 10 Mathematics

Free practice quiz: Arithmetic Progressions (CBSE Class 10 Mathematics). 16 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the common difference in the sequence: 3, 6, 9, 12, ...?

   1. 1
   2. 2
   3. 3
   4. 4
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   Answer: C. 3

   The sequence is an arithmetic progression where each term increases by 3. Therefore, the common difference is 3.

2. What is the 6th term of the arithmetic sequence: 4, 9, 14, 19?

   1. 29
   2. 24
   3. 30
   4. 34
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   Answer: A. 29

   The common difference is 5. The 6th term is calculated as 4 + 5*5 = 29.

3. Determine the 12th term of the sequence: 15, 10, 5, 0, ...

   1. -45
   2. -50
   3. -55
   4. -60
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   Answer: A. -45

   Common difference is -5. The 12th term is 15 + 11*(-5) = -45.

4. A sequence has a3 = 19 and a7 = 47. What is the common difference?

   1. 7
   2. 6
   3. 5
   4. 4
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   Answer: A. 7

   The difference in terms is (47 - 19) / (7 - 3) = 7.

5. The sum of the first 15 terms of an AP is 525, and the first term is 10. Find the common difference.

   1. 2
   2. 3
   3. 4
   4. 5
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   Answer: A. 2

   Using the formula S_n = n/2 * (2a + (n-1)d) and solving for d, we get d = 2.

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