Arithmetic Progressions — Important Questions
Madhya Pradesh Board · Class 10 · Mathematics
135 important questions from Arithmetic Progressions for Madhya Pradesh Board Class 10 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Arithmetic Progressions
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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