Free · Class 10 · 6 worksheets · answer keys · practise online · set 66
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 66
Name: Date: Score: / 10
Find d.
Common difference of −5, −12, −19, −26, … Common difference of −1, 3, 7, 11, … Common difference of 6, −6, −18, −30, … Common difference of −17, −13, −9, −5, … Common difference of −19, −30, −41, −52, … Common difference of 3, 5, 7, 9, … Common difference of 5, −1, −7, −13, … Common difference of 5, 16, 27, 38, … Common difference of −4, −1, 2, 5, … Common difference of 2, 4, 6, 8, …
✅ Answer key — Common difference
d = −7 d = 4 d = −12 d = 4 d = −11 d = 2 d = −6 d = 11 d = 3 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 66
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 6, 10, 14, 18 an AP? Is 3, 7, 11, 16 an AP? Is 18, 15, 12, 11 an AP? Is 18, 12, 7, 0 an AP? Is 20, 13, 6, −1 an AP? Is 9, 9, 13, 15 an AP? Is 18, 23, 30, 33 an AP? Is 9, 11, 13, 12 an AP?
✅ Answer key — Is it an AP?
Yes, d = 4 No No No Yes, d = −7 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 66
Name: Date: Score: / 8
Find the term.
The 35th term of −2, 5, 12, … The 23rd term of 9, 18, 27, … The 20th term of −3, −8, −13, … The 25th term of 17, 19, 21, … The 11th term of 6, 3, 0, … The 36th term of −2, 4, 10, … The 16th term of 14, 8, 2, … The 39th term of −4, 2, 8, …
✅ Answer key — nth term
236 207 −98 65 −24 208 −76 224 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 66
Name: Date: Score: / 8
Solve.
Which term of 13, 19, 25, … is 163? Which term of 11, 16, 21, … is 101? Which term of 9, 18, 27, … is 450? Which term of 14, 21, 28, … is 336? Which term of −11, −8, −5, … is 43? Which term of −19, −16, −13, … is 68? Which term of 4, 2, 0, … is −64? Which term of −3, −11, −19, … is −115?
✅ Answer key — Which term?
the 26th term the 19th term the 50th term the 47th term the 19th term the 30th term the 35th term the 15th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 66
Name: Date: Score: / 8
Find the sum.
Sum of the first 21 terms of −5, −2, 1, … Sum of the first 29 terms of 19, 16, 13, … Sum of the first 14 terms of 20, 28, 36, … Sum of the first 9 terms of −10, −7, −4, … Sum of the first 19 terms of 15, 19, 23, … Sum of the first 19 terms of −4, 2, 8, … Sum of the first 11 terms of −8, −10, −12, … Sum of the first 28 terms of 17, 23, 29, …
✅ Answer key — Sum of n terms
525 −667 1008 18 969 950 −198 2744 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 66
Name: Date: Score: / 6
Solve.
A hall has 28 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 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 20th row? Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 8. Aman saves ₹300 in the first month and ₹70 more every month after that. How much does he save in 8 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 30th row?
✅ Answer key — AP word problems
84 69 1665 616 ₹4360 110 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.
