Free · Class 10 · 6 worksheets · answer keys · practise online · set 42
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 42
Name: Date: Score: / 10
Find d.
Common difference of −3, 0, 3, 6, … Common difference of −20, −9, 2, 13, … Common difference of 6, −3, −12, −21, … Common difference of 9, 16, 23, 30, … Common difference of 12, 13, 14, 15, … Common difference of 5, 14, 23, 32, … Common difference of 20, 15, 10, 5, … Common difference of −14, −24, −34, −44, … Common difference of −15, −24, −33, −42, … Common difference of 2, 11, 20, 29, …
✅ Answer key — Common difference
d = 3 d = 11 d = −9 d = 7 d = 1 d = 9 d = −5 d = −10 d = −9 d = 9 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 42
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −3, −12, −21, −28 an AP? Is −3, 1, 5, 9 an AP? Is 4, −2, −8, −14 an AP? Is −1, 7, 15, 26 an AP? Is 20, 18, 20, 20 an AP? Is −7, 0, 7, 14 an AP? Is 18, 12, 9, 0 an AP? Is −3, 4, 11, 18 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 4 Yes, d = −6 No No Yes, d = 7 No Yes, d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 42
Name: Date: Score: / 8
Find the term.
The 39th term of −12, −10, −8, … The 39th term of 16, 13, 10, … The 14th term of 5, 4, 3, … The 31st term of −4, −8, −12, … The 29th term of −4, −3, −2, … The 28th term of −3, 0, 3, … The 13th term of 18, 23, 28, … The 24th term of −16, −11, −6, …
✅ Answer key — nth term
64 −98 −8 −124 24 78 78 99 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 42
Name: Date: Score: / 8
Solve.
Which term of 9, 18, 27, … is 153? Which term of 5, 1, −3, … is −143? Which term of 4, 0, −4, … is −124? Which term of −12, −10, −8, … is 28? Which term of −15, −17, −19, … is −29? Which term of 13, 14, 15, … is 60? Which term of 18, 20, 22, … is 64? Which term of 4, 7, 10, … is 55?
✅ Answer key — Which term?
the 17th term the 38th term the 33rd term the 21st term the 8th term the 48th term the 24th term the 18th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 42
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of −6, 3, 12, … Sum of the first 28 terms of 2, 7, 12, … Sum of the first 30 terms of 20, 23, 26, … Sum of the first 14 terms of −4, −5, −6, … Sum of the first 30 terms of 13, 16, 19, … Sum of the first 8 terms of −4, 2, 8, … Sum of the first 19 terms of 14, 13, 12, … Sum of the first 11 terms of −8, −13, −18, …
✅ Answer key — Sum of n terms
3735 1946 1905 −147 1695 136 95 −363 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 42
Name: Date: Score: / 6
Solve.
Aman saves ₹450 in the first month and ₹100 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 6. Find the sum of all two-digit numbers that are multiples of 3. A hall has 19 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 30th row? Find the sum of all two-digit numbers that are multiples of 9. A hall has 19 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 19th row?
✅ Answer key — AP word problems
₹4200 810 1665 135 585 91 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.
