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Arithmetic Progressions — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Arithmetic Progressions MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
Which of these sequences is an AP?
A. 1, 4, 9, 16
B. 2, 4, 8, 16
C. 5, 10, 15, 20 ✓ Correct
D. 1, 1, 2, 3
Solution: It has a constant difference of 5.
Q2 — easy
The first term of an AP is 7 and the common difference is 3. Find the 2nd term.
A. 3
B. 7
C. 10 ✓ Correct
D. 21
Solution: 7 + 3 = 10.
Q3 — easy
In an AP, if a = 5 and d = −2, the 3rd term is:
A. 1 ✓ Correct
B. 3
C. 7
D. 9
Solution: 5 + 2(−2) = 1.
Q4 — hard
Which term of the AP 21, 18, 15, … is zero?
A. 6th
B. 7th
C. 8th ✓ Correct
D. 9th
Solution: 21 + (n−1)(−3) = 0 → n = 8.
Q5 — hard
The sum of the first n terms of an AP is 3n² + 5n. Find its 2nd term.
A. 14 ✓ Correct
B. 16
C. 18
D. 20
Solution: S₂ − S₁ = 22 − 8 = 14.
Q6 — hard
Find the sum of all two-digit numbers divisible by 7.
A. 700
B. 728 ✓ Correct
C. 735
D. 770
Solution: The AP is 14, 21, …, 98 with n = 13; S = 13/2 × (14 + 98) = 728.
Q7 — medium
How many terms are there in the AP 7, 13, 19, …, 205?
A. 32
B. 33
C. 34 ✓ Correct
D. 35
Solution: 205 = 7 + (n−1)6 → n = 34.
Q8 — medium
The sum of the first n natural numbers is:
A. n(n+1)
B. n(n+1)/2 ✓ Correct
C. n²
D. n(n−1)/2
Solution: Standard AP sum formula.
Q9 — medium
If the 3rd term of an AP is 12 and the common difference is 4, find the first term.
A. 2
B. 4 ✓ Correct
C. 6
D. 8
Solution: a = 12 − 2(4) = 4.