Free · Class 10 · 6 worksheets · answer keys · practise online · set 17
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 17
Name: Date: Score: / 10
Find d.
Common difference of 8, −1, −10, −19, … Common difference of 20, 17, 14, 11, … Common difference of 20, 28, 36, 44, … Common difference of 18, 30, 42, 54, … Common difference of 15, 5, −5, −15, … Common difference of 15, 4, −7, −18, … Common difference of 12, 5, −2, −9, … Common difference of −7, −15, −23, −31, … Common difference of 15, 21, 27, 33, … Common difference of −15, −20, −25, −30, …
✅ Answer key — Common difference
d = −9 d = −3 d = 8 d = 12 d = −10 d = −11 d = −7 d = −8 d = 6 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 17
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, 2, 6, 10 an AP? Is −5, −9, −11, −14 an AP? Is 18, 10, 2, −6 an AP? Is 6, 13, 20, 27 an AP? Is 14, 18, 22, 24 an AP? Is 10, 14, 18, 25 an AP? Is 17, 18, 17, 20 an AP? Is 4, −4, −12, −20 an AP?
✅ Answer key — Is it an AP?
Yes, d = 4 No Yes, d = −8 Yes, d = 7 No No No Yes, d = −8 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 17
Name: Date: Score: / 8
Find the term.
The 38th term of −1, 0, 1, … The 16th term of −7, −10, −13, … The 15th term of 6, 9, 12, … The 36th term of 2, 4, 6, … The 20th term of −14, −23, −32, … The 30th term of 1, −6, −13, … The 37th term of 10, 15, 20, … The 22nd term of −12, −6, 0, …
✅ Answer key — nth term
36 −52 48 72 −185 −202 190 114 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 17
Name: Date: Score: / 8
Solve.
Which term of −17, −18, −19, … is −26? Which term of 5, 6, 7, … is 32? Which term of 10, 5, 0, … is −185? Which term of 7, 15, 23, … is 135? Which term of 13, 7, 1, … is −59? Which term of 12, 5, −2, … is −282? Which term of −17, −19, −21, … is −49? Which term of 14, 16, 18, … is 90?
✅ Answer key — Which term?
the 10th term the 28th term the 40th term the 17th term the 13th term the 43rd term the 17th term the 39th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 17
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 16, 14, 12, … Sum of the first 28 terms of 12, 9, 6, … Sum of the first 13 terms of 17, 13, 9, … Sum of the first 19 terms of 18, 24, 30, … Sum of the first 19 terms of 5, 12, 19, … Sum of the first 10 terms of −9, −11, −13, … Sum of the first 16 terms of 7, 5, 3, … Sum of the first 22 terms of −10, −6, −2, …
✅ Answer key — Sum of n terms
52 −798 −91 1368 1292 −180 −128 704 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 17
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. Find the sum of all two-digit numbers that are multiples of 4. Find the sum of all two-digit numbers that are multiples of 7. A hall has 17 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 11th row? Find the sum of all two-digit numbers that are multiples of 8. A hall has 10 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 15th row?
✅ Answer key — AP word problems
945 1188 728 37 616 38 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.
