Arithmetic Progressions
Punjab Board · Class 10 · Mathematics
Practice quiz for Arithmetic Progressions — Punjab Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.
Interactive on Super Tutor
Studying Arithmetic Progressions? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
1,000+ Class 10 students started this chapter today
Super Tutor has 5+ illustrations like this for Arithmetic Progressions alone — flashcards, concept maps, and step-by-step visuals.
See them allQuick Quiz: Arithmetic Progressions
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
The sum of the first n terms of an AP is given by Sₙ = 3n² + 5n. Find the common difference of the AP.
If the 9th term of an AP is 0, prove which term equals twice the 19th term. Which term is it?
The ratio of the sum of n terms of two APs is (7n + 1) : (4n + 27). Find the ratio of their 11th terms.
How many terms of the AP 63, 60, 57, ... must be taken so that their sum is 693? Choose the correct number of terms.
Sample Questions
In an AP, the sum of first 10 terms is -150 and the sum of its next 10 terms is -550. Find the first term of the AP.
Show answer
3
Step 1: S₁₀ = -150 → 5[2a + 9d] = -150 → 2a + 9d = -30 ... (i) Step 2: Sum of next 10 terms = S₂₀ - S₁₀ = -550 → S₂₀ = -700. Step 3: S₂₀ = -700 → 10[2a + 19d] = -700 → 2a + 19d = -70 ... (ii) Step 4: Subtract (i) from (ii): 10d = -40 → d = -4. Substitute in (i): 2a + 9(-4) = -30 → 2a = 6 → a = 3. The first term is 3.
If the pth term of an AP is q and the qth term is p (p ≠ q), what is the (p + q)th term?
The sum of four numbers in AP is 32 and the sum of their squares is 276. Find the largest of the four numbers.
Show answer
11
Step 1: Let four numbers in AP be (a-3d), (a-d), (a+d), (a+3d) with common difference 2d. Step 2: Sum = 4a = 32 → a = 8. Step 3: Sum of squares: (a-3d)² + (a-d)² + (a+d)² + (a+3d)² = 276. Step 4: = 4a² + 20d² = 276 → 4(64) + 20d² = 276 → 20d² = 20 → d² = 1 → d = 1. Step 5: Numbers are 5, 7, 9, 11. Largest = 11.
The sum of n terms of an AP is 5n² - 3n. Which term of this AP is 152?
Show answer
16th
Step 1: Find general term: aₙ = Sₙ - Sₙ₋₁ = (5n² - 3n) - [5(n-1)² - 3(n-1)]. Step 2: = 5n² - 3n - [5n² - 10n + 5 - 3n + 3] = 5n² - 3n - 5n² + 13n - 8 = 10n - 8. Step 3: Set aₙ = 152: 10n - 8 = 152 → 10n = 160 → n = 16. Step 4: Verify: a₁₆ = 10(16) - 8 = 160 - 8 = 152. ✓ The 16th term is 152.
+41 more questions available
Practice AllFrequently Asked Questions
What are the important topics in Arithmetic Progressions for Punjab Board Class 10 Mathematics?
How to score full marks in Arithmetic Progressions — Punjab Board Class 10 Mathematics?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Arithmetic Progressions
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Arithmetic Progressions chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Punjab Board Class 10 Mathematics.