Free · Class 10 · 6 worksheets · answer keys · practise online · set 8
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 8
Name: Date: Score: / 10
Find d.
Common difference of 16, 28, 40, 52, … Common difference of 5, 0, −5, −10, … Common difference of 17, 8, −1, −10, … Common difference of −5, −15, −25, −35, … Common difference of 3, 11, 19, 27, … Common difference of 16, 5, −6, −17, … Common difference of −15, −18, −21, −24, … Common difference of 8, 5, 2, −1, … Common difference of −6, 3, 12, 21, … Common difference of 16, 19, 22, 25, …
✅ Answer key — Common difference
d = 12 d = −5 d = −9 d = −10 d = 8 d = −11 d = −3 d = −3 d = 9 d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 8
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −5, −13, −21, −29 an AP? Is 13, 12, 11, 10 an AP? Is 14, 12, 10, 8 an AP? Is 10, 4, −2, −8 an AP? Is 1, 4, 7, 10 an AP? Is 15, 21, 33, 42 an AP? Is −9, −4, −3, 0 an AP? Is 20, 25, 32, 35 an AP?
✅ Answer key — Is it an AP?
Yes, d = −8 Yes, d = −1 Yes, d = −2 Yes, d = −6 Yes, d = 3 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 8
Name: Date: Score: / 8
Find the term.
The 23rd term of 2, 10, 18, … The 12th term of −11, −3, 5, … The 21st term of −2, −10, −18, … The 32nd term of 19, 22, 25, … The 39th term of 9, 6, 3, … The 33rd term of −13, −19, −25, … The 13th term of −6, −15, −24, … The 20th term of 0, −8, −16, …
✅ Answer key — nth term
178 77 −162 112 −105 −205 −114 −152 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 8
Name: Date: Score: / 8
Solve.
Which term of −16, −13, −10, … is 44? Which term of 3, −3, −9, … is −231? Which term of −11, −3, 5, … is 45? Which term of −11, −18, −25, … is −74? Which term of 20, 28, 36, … is 196? Which term of −19, −11, −3, … is 133? Which term of 11, 18, 25, … is 263? Which term of −1, −10, −19, … is −280?
✅ Answer key — Which term?
the 21st term the 40th term the 8th term the 10th term the 23rd term the 20th term the 37th term the 32nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 8
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of 19, 20, 21, … Sum of the first 22 terms of −7, −9, −11, … Sum of the first 21 terms of 1, 7, 13, … Sum of the first 13 terms of 1, −4, −9, … Sum of the first 18 terms of −1, −5, −9, … Sum of the first 21 terms of 15, 14, 13, … Sum of the first 15 terms of 7, 13, 19, … Sum of the first 11 terms of 6, 13, 20, …
✅ Answer key — Sum of n terms
357 −616 1281 −377 −630 105 735 451 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 8
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 7. A hall has 15 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 29th row? Aman saves ₹250 in the first month and ₹90 more every month after that. How much does he save in 7 months? A hall has 22 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 19th row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 30 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 24th row?
✅ Answer key — AP word problems
728 127 ₹3640 58 945 122 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.
