Free · Class 10 · 6 worksheets · answer keys · practise online · set 57
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 57
Name: Date: Score: / 10
Find d.
Common difference of −13, −8, −3, 2, … Common difference of −18, −9, 0, 9, … Common difference of 14, 2, −10, −22, … Common difference of −16, −8, 0, 8, … Common difference of −8, −9, −10, −11, … Common difference of −18, −30, −42, −54, … Common difference of 9, 18, 27, 36, … Common difference of −8, −10, −12, −14, … Common difference of 4, 3, 2, 1, … Common difference of 16, 22, 28, 34, …
✅ Answer key — Common difference
d = 5 d = 9 d = −12 d = 8 d = −1 d = −12 d = 9 d = −2 d = −1 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 57
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 10, 6, 2, −3 an AP? Is 17, 12, 7, 2 an AP? Is 1, 3, 1, 1 an AP? Is 17, 8, −1, −9 an AP? Is 2, −7, −16, −24 an AP? Is 6, 15, 24, 35 an AP? Is 5, 12, 19, 26 an AP? Is 17, 19, 21, 24 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −5 No No No No Yes, d = 7 No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 57
Name: Date: Score: / 8
Find the term.
The 21st term of 19, 16, 13, … The 28th term of 9, 8, 7, … The 38th term of −6, −15, −24, … The 14th term of 16, 8, 0, … The 27th term of 0, 3, 6, … The 15th term of −20, −19, −18, … The 33rd term of 2, −7, −16, … The 31st term of −14, −18, −22, …
✅ Answer key — nth term
−41 −18 −339 −88 78 −6 −286 −134 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 57
Name: Date: Score: / 8
Solve.
Which term of −11, −12, −13, … is −25? Which term of −6, 3, 12, … is 417? Which term of 9, 5, 1, … is −147? Which term of 8, 0, −8, … is −320? Which term of −11, −8, −5, … is 106? Which term of 4, 8, 12, … is 116? Which term of 12, 7, 2, … is −193? Which term of 8, 13, 18, … is 253?
✅ Answer key — Which term?
the 15th term the 48th term the 40th term the 42nd term the 40th term the 29th term the 42nd term the 50th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 57
Name: Date: Score: / 8
Find the sum.
Sum of the first 20 terms of 16, 20, 24, … Sum of the first 15 terms of 1, 10, 19, … Sum of the first 17 terms of 0, −5, −10, … Sum of the first 26 terms of 19, 20, 21, … Sum of the first 13 terms of −8, −1, 6, … Sum of the first 10 terms of 1, −4, −9, … Sum of the first 27 terms of 8, 7, 6, … Sum of the first 12 terms of 17, 15, 13, …
✅ Answer key — Sum of n terms
1080 960 −680 819 442 −215 −135 72 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 57
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 8. Aman saves ₹250 in the first month and ₹40 more every month after that. How much does he save in 6 months? Aman saves ₹300 in the first month and ₹20 more every month after that. How much does he save in 7 months? Aman saves ₹500 in the first month and ₹50 more every month after that. How much does he save in 10 months? Aman saves ₹400 in the first month and ₹100 more every month after that. How much does he save in 7 months? Aman saves ₹350 in the first month and ₹30 more every month after that. How much does he save in 10 months?
✅ Answer key — AP word problems
616 ₹2100 ₹2520 ₹7250 ₹4900 ₹4850 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.
