Free · Class 10 · 6 worksheets · answer keys · practise online · set 81
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 81
Name: Date: Score: / 10
Find d.
Common difference of −5, −7, −9, −11, … Common difference of 15, 3, −9, −21, … Common difference of 11, 0, −11, −22, … Common difference of 12, 3, −6, −15, … Common difference of −20, −29, −38, −47, … Common difference of 10, 5, 0, −5, … Common difference of 15, 21, 27, 33, … Common difference of 4, 2, 0, −2, … Common difference of −13, −8, −3, 2, … Common difference of 2, 8, 14, 20, …
✅ Answer key — Common difference
d = −2 d = −12 d = −11 d = −9 d = −9 d = −5 d = 6 d = −2 d = 5 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 81
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 2, 4, 6, 8 an AP? Is −8, −16, −24, −33 an AP? Is 15, 17, 21, 21 an AP? Is 11, 12, 13, 12 an AP? Is 8, −1, −10, −19 an AP? Is 15, 10, 5, 1 an AP? Is 7, 0, −7, −17 an AP? Is 6, 9, 12, 15 an AP?
✅ Answer key — Is it an AP?
Yes, d = 2 No No No Yes, d = −9 No No Yes, d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 81
Name: Date: Score: / 8
Find the term.
The 22nd term of −10, −14, −18, … The 18th term of 17, 21, 25, … The 31st term of 10, 8, 6, … The 29th term of 16, 19, 22, … The 29th term of 7, 8, 9, … The 15th term of 20, 18, 16, … The 30th term of −4, −11, −18, … The 19th term of −12, −11, −10, …
✅ Answer key — nth term
−94 85 −50 100 35 −8 −207 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 81
Name: Date: Score: / 8
Solve.
Which term of 2, −6, −14, … is −358? Which term of 8, 1, −6, … is −300? Which term of −14, −21, −28, … is −133? Which term of −15, −8, −1, … is 167? Which term of −9, −12, −15, … is −45? Which term of 14, 19, 24, … is 149? Which term of −8, −16, −24, … is −176? Which term of −4, 5, 14, … is 131?
✅ Answer key — Which term?
the 46th term the 45th term the 18th term the 27th term the 13th term the 28th term the 22nd term the 16th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 81
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 12, 9, 6, … Sum of the first 29 terms of −7, −2, 3, … Sum of the first 13 terms of 20, 17, 14, … Sum of the first 20 terms of −4, −8, −12, … Sum of the first 14 terms of 8, 14, 20, … Sum of the first 20 terms of 18, 27, 36, … Sum of the first 27 terms of 20, 27, 34, … Sum of the first 16 terms of 3, 12, 21, …
✅ Answer key — Sum of n terms
−78 1827 26 −840 658 2070 2997 1128 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 81
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. A hall has 12 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 14th row? Aman saves ₹350 in the first month and ₹40 more every month after that. How much does he save in 12 months? A hall has 23 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 19th row? Aman saves ₹450 in the first month and ₹60 more every month after that. How much does he save in 9 months? Find the sum of all two-digit numbers that are multiples of 5.
✅ Answer key — AP word problems
1665 38 ₹6840 77 ₹6210 945 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.
