Free · Class 10 · 6 worksheets · answer keys · practise online · set 93
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 93
Name: Date: Score: / 10
Find d.
Common difference of 2, −3, −8, −13, … Common difference of 12, 4, −4, −12, … Common difference of −17, −8, 1, 10, … Common difference of 2, 7, 12, 17, … Common difference of −19, −27, −35, −43, … Common difference of 10, −1, −12, −23, … Common difference of −2, 8, 18, 28, … Common difference of 4, 10, 16, 22, … Common difference of 6, 16, 26, 36, … Common difference of −7, −11, −15, −19, …
✅ Answer key — Common difference
d = −5 d = −8 d = 9 d = 5 d = −8 d = −11 d = 10 d = 6 d = 10 d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 93
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −4, 1, 7, 11 an AP? Is −2, −10, −18, −28 an AP? Is −3, 0, 3, 6 an AP? Is 2, 8, 14, 20 an AP? Is 13, 8, 5, −2 an AP? Is −7, −4, −1, 3 an AP? Is −1, 6, 13, 22 an AP? Is −7, −15, −23, −31 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 3 Yes, d = 6 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 93
Name: Date: Score: / 8
Find the term.
The 36th term of −10, −3, 4, … The 23rd term of 16, 17, 18, … The 16th term of 10, 6, 2, … The 13th term of 20, 14, 8, … The 39th term of −16, −13, −10, … The 35th term of 9, 11, 13, … The 14th term of −8, −12, −16, … The 10th term of −15, −8, −1, …
✅ Answer key — nth term
235 38 −50 −52 98 77 −60 48 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 93
Name: Date: Score: / 8
Solve.
Which term of −1, 2, 5, … is 116? Which term of −11, −18, −25, … is −354? Which term of 7, 15, 23, … is 199? Which term of 2, −2, −6, … is −154? Which term of −3, −8, −13, … is −183? Which term of −15, −12, −9, … is 9? Which term of 4, 5, 6, … is 43? Which term of −6, −7, −8, … is −52?
✅ Answer key — Which term?
the 40th term the 50th term the 25th term the 40th term the 37th term the 9th term the 40th term the 47th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 93
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of 13, 12, 11, … Sum of the first 11 terms of 20, 29, 38, … Sum of the first 30 terms of −2, −4, −6, … Sum of the first 17 terms of −9, −5, −1, … Sum of the first 20 terms of 16, 17, 18, … Sum of the first 9 terms of 4, 13, 22, … Sum of the first 10 terms of 10, 6, 2, … Sum of the first 13 terms of 2, 10, 18, …
✅ Answer key — Sum of n terms
91 715 −930 391 510 360 −80 650 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 93
Name: Date: Score: / 6
Solve.
A hall has 17 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row? Find the sum of all two-digit numbers that are multiples of 4. A hall has 10 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 14th row? A hall has 11 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 15th row? A hall has 24 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 23rd 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 10th row?
✅ Answer key — AP word problems
95 1188 62 39 112 39 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.
