Arithmetic Progressions — Practice Quiz
Madhya Pradesh Board · Class 10 · Mathematics
Try a 4-question quiz on Arithmetic Progressions for Madhya Pradesh Board Class 10 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Arithmetic Progressions
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What is an Arithmetic Progression (AP)?
In the AP 2, 5, 8, 11, ..., what is the common difference?
What is the formula for the nth term of an AP?
What is the sum of the first n terms of an AP?
Sample Questions
In the sequence 3, 7, 11, 15, ..., what is the 6th term?
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23
First term a = 3, common difference d = 4. Using an = a + (n-1)d, the 6th term is 3 + (6-1)4 = 3 + 20 = 23.
Which of these is NOT an Arithmetic Progression?
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1, 1, 2, 3, 5
In an AP, the difference between consecutive terms must be constant. In this sequence, the differences are not the same.
The first term of an AP is 5 and the common difference is 3. What is the 10th term?
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32
Using an = a + (n-1)d, the 10th term is 5 + (10-1)3 = 5 + 27 = 32.
What is the common difference in the AP 100, 70, 40, 10?
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-30
The common difference is calculated by subtracting consecutive terms: 70-100 = -30, 40-70 = -30, 10-40 = -30.
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