Free · Class 10 · 6 worksheets · answer keys · practise online · set 55
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 55
Name: Date: Score: / 10
Find d.
Common difference of −9, −19, −29, −39, … Common difference of −14, −16, −18, −20, … Common difference of 20, 29, 38, 47, … Common difference of −14, −11, −8, −5, … Common difference of −4, −15, −26, −37, … Common difference of −7, −10, −13, −16, … Common difference of −13, −16, −19, −22, … Common difference of −17, −26, −35, −44, … Common difference of 3, 1, −1, −3, … Common difference of −6, −4, −2, 0, …
✅ Answer key — Common difference
d = −10 d = −2 d = 9 d = 3 d = −11 d = −3 d = −3 d = −9 d = −2 d = 2 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 55
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 8, 9, 10, 10 an AP? Is 6, 3, 0, 0 an AP? Is 18, 15, 12, 9 an AP? Is −4, −5, −6, −7 an AP? Is −4, −13, −22, −31 an AP? Is 15, 20, 27, 30 an AP? Is −6, −5, −4, −3 an AP? Is 14, 14, 14, 14 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = −3 Yes, d = −1 Yes, d = −9 No Yes, d = 1 Yes, d = 0 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 55
Name: Date: Score: / 8
Find the term.
The 32nd term of −2, 4, 10, … The 21st term of −14, −15, −16, … The 16th term of 14, 13, 12, … The 38th term of 4, 3, 2, … The 40th term of −9, −8, −7, … The 34th term of −13, −12, −11, … The 38th term of −4, −7, −10, … The 36th term of 15, 13, 11, …
✅ Answer key — nth term
184 −34 −1 −33 30 20 −115 −55 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 55
Name: Date: Score: / 8
Solve.
Which term of −20, −14, −8, … is 52? Which term of 10, 14, 18, … is 78? Which term of 11, 17, 23, … is 149? Which term of −8, −11, −14, … is −119? Which term of 0, −6, −12, … is −72? Which term of −8, −1, 6, … is 83? Which term of −18, −14, −10, … is 146? Which term of 11, 20, 29, … is 326?
✅ Answer key — Which term?
the 13th term the 18th term the 24th term the 38th term the 13th term the 14th term the 42nd term the 36th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 55
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of −7, −4, −1, … Sum of the first 18 terms of −5, −8, −11, … Sum of the first 10 terms of 1, −2, −5, … Sum of the first 14 terms of −6, −5, −4, … Sum of the first 28 terms of −1, 8, 17, … Sum of the first 23 terms of −10, −6, −2, … Sum of the first 9 terms of 3, 11, 19, … Sum of the first 30 terms of 17, 16, 15, …
✅ Answer key — Sum of n terms
65 −549 −125 7 3374 782 315 75 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 55
Name: Date: Score: / 6
Solve.
Aman saves ₹300 in the first month and ₹50 more every month after that. How much does he save in 9 months? Aman saves ₹100 in the first month and ₹60 more every month after that. How much does he save in 8 months? A hall has 17 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 26th row? A hall has 26 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 29th row? 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 13th row? A hall has 27 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 30th row?
✅ Answer key — AP word problems
₹4500 ₹2480 92 82 73 114 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.
