Free · Class 10 · 6 worksheets · answer keys · practise online · set 19
Arithmetic progression (AP) worksheets — Class 10
Free arithmetic progression worksheets for Class 10: common difference, nth term, which term, sum of n terms, is it an AP and word problems — with answers.
💡 Learn it first
An AP adds the same number each time: 3, 7, 11, 15… The common difference d = a₂ − a₁ = 4. nth term : aₙ = a + (n − 1)d. Example: the 10th term of 3, 7, 11… is 3 + 9 × 4 = 39.Sum of n terms : Sₙ = n/2 [2a + (n − 1)d] = n/2 (first term + last term).
Common difference (Class 10) Is it an AP? (Class 10) nth term (Class 10) Which term? (Class 10) Sum of n terms (Class 10) AP word problems (Class 10)
Common difference Class 10 · Worksheet 1 · set 19
Name: Date: Score: / 10
Find d.
Common difference of 0, −10, −20, −30, … Common difference of 12, 20, 28, 36, … Common difference of 10, 14, 18, 22, … Common difference of −18, −30, −42, −54, … Common difference of 19, 16, 13, 10, … Common difference of 15, 13, 11, 9, … Common difference of 5, 14, 23, 32, … Common difference of −20, −27, −34, −41, … Common difference of 7, 19, 31, 43, … Common difference of 18, 29, 40, 51, …
✅ Answer key — Common difference
d = −10 d = 8 d = 4 d = −12 d = −3 d = −2 d = 9 d = −7 d = 12 d = 11 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 19
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 15, 13, 11 an AP? Is −6, −3, 0, 3 an AP? Is 1, 0, −1, −5 an AP? Is 3, 11, 19, 27 an AP? Is −3, 6, 15, 24 an AP? Is 20, 20, 20, 20 an AP? Is 3, 6, 9, 14 an AP? Is −4, 4, 14, 23 an AP?
✅ Answer key — Is it an AP?
Yes, d = −2 Yes, d = 3 No Yes, d = 8 Yes, d = 9 Yes, d = 0 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 19
Name: Date: Score: / 8
Find the term.
The 15th term of 10, 17, 24, … The 28th term of 12, 21, 30, … The 11th term of −20, −18, −16, … The 27th term of −10, −17, −24, … The 12th term of 4, 0, −4, … The 29th term of −3, 5, 13, … The 21st term of −13, −8, −3, … The 30th term of −12, −13, −14, …
✅ Answer key — nth term
108 255 0 −192 −40 221 87 −41 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 19
Name: Date: Score: / 8
Solve.
Which term of −1, 6, 13, … is 139? Which term of −5, −7, −9, … is −41? Which term of 10, 3, −4, … is −53? Which term of −19, −13, −7, … is 23? Which term of −13, −21, −29, … is −181? Which term of 3, 0, −3, … is −117? Which term of 13, 12, 11, … is −12? Which term of 13, 17, 21, … is 165?
✅ Answer key — Which term?
the 21st term the 19th term the 10th term the 8th term the 22nd term the 41st term the 26th term the 39th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 19
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 17, 15, 13, … Sum of the first 12 terms of 19, 27, 35, … Sum of the first 18 terms of 6, 7, 8, … Sum of the first 22 terms of 20, 24, 28, … Sum of the first 15 terms of 20, 22, 24, … Sum of the first 30 terms of 10, 11, 12, … Sum of the first 30 terms of 20, 24, 28, … Sum of the first 25 terms of 12, 20, 28, …
✅ Answer key — Sum of n terms
65 756 261 1364 510 735 2340 2700 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 19
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 9. A hall has 29 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 21st row? Aman saves ₹200 in the first month and ₹100 more every month after that. How much does he save in 6 months? A hall has 27 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 10th row? Find the sum of all two-digit numbers that are multiples of 8. A hall has 25 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 18th row?
✅ Answer key — AP word problems
585 89 ₹2700 45 616 93 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Questions
What is the formula for the nth term of an AP? aₙ = a + (n − 1)d, where a is the first term and d the common difference.
Are these worksheets free? Yes — print them or save as PDF free. Every worksheet has an answer key.
How do I get different questions? Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).
How do I print only one worksheet? Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.
Can my child do this worksheet online, like a quiz? Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.
