Free · Class 10 · 6 worksheets · answer keys · practise online · set 16
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 16
Name: Date: Score: / 10
Find d.
Common difference of −11, −1, 9, 19, … Common difference of 17, 5, −7, −19, … Common difference of 9, 5, 1, −3, … Common difference of −5, −12, −19, −26, … Common difference of 8, 15, 22, 29, … Common difference of 9, 15, 21, 27, … Common difference of 0, −10, −20, −30, … Common difference of 20, 9, −2, −13, … Common difference of 15, 22, 29, 36, … Common difference of 1, −6, −13, −20, …
✅ Answer key — Common difference
d = 10 d = −12 d = −4 d = −7 d = 7 d = 6 d = −10 d = −11 d = 7 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 16
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 12, 20, 28, 36 an AP? Is 18, 18, 18, 18 an AP? Is 7, 10, 15, 16 an AP? Is 9, 3, −3, −9 an AP? Is 16, 13, 10, 5 an AP? Is 10, 4, −2, −8 an AP? Is 15, 21, 27, 33 an AP? Is 12, 6, 0, −6 an AP?
✅ Answer key — Is it an AP?
Yes, d = 8 Yes, d = 0 No Yes, d = −6 No Yes, d = −6 Yes, d = 6 Yes, d = −6 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 16
Name: Date: Score: / 8
Find the term.
The 39th term of 2, −4, −10, … The 12th term of 1, 10, 19, … The 31st term of 11, 14, 17, … The 31st term of 14, 5, −4, … The 25th term of 16, 23, 30, … The 29th term of −17, −10, −3, … The 29th term of 14, 16, 18, … The 27th term of 19, 16, 13, …
✅ Answer key — nth term
−226 100 101 −256 184 179 70 −59 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 16
Name: Date: Score: / 8
Solve.
Which term of 15, 17, 19, … is 85? Which term of 20, 26, 32, … is 110? Which term of 14, 12, 10, … is −46? Which term of 11, 13, 15, … is 91? Which term of 20, 13, 6, … is −288? Which term of −7, −15, −23, … is −79? Which term of −11, −2, 7, … is 367? Which term of −1, −10, −19, … is −379?
✅ Answer key — Which term?
the 36th term the 16th term the 31st term the 41st term the 45th term the 10th term the 43rd term the 43rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 16
Name: Date: Score: / 8
Find the sum.
Sum of the first 11 terms of 10, 16, 22, … Sum of the first 10 terms of −5, −4, −3, … Sum of the first 30 terms of 14, 22, 30, … Sum of the first 25 terms of 20, 22, 24, … Sum of the first 19 terms of 7, 16, 25, … Sum of the first 10 terms of 17, 18, 19, … Sum of the first 29 terms of 7, 5, 3, … Sum of the first 14 terms of 7, 13, 19, …
✅ Answer key — Sum of n terms
440 −5 3900 1100 1672 215 −609 644 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 16
Name: Date: Score: / 6
Solve.
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 8. Aman saves ₹250 in the first month and ₹30 more every month after that. How much does he save in 6 months? A hall has 13 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 24th row? Aman saves ₹200 in the first month and ₹50 more every month after that. How much does he save in 7 months? A hall has 24 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row?
✅ Answer key — AP word problems
810 616 ₹1950 82 ₹2450 90 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.
