Free · Class 10 · 6 worksheets · answer keys · practise online · set 7
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 7
Name: Date: Score: / 10
Find d.
Common difference of −1, 9, 19, 29, … Common difference of −17, −27, −37, −47, … Common difference of −9, −2, 5, 12, … Common difference of −14, −24, −34, −44, … Common difference of 7, 1, −5, −11, … Common difference of 7, 16, 25, 34, … Common difference of −19, −31, −43, −55, … Common difference of −2, −6, −10, −14, … Common difference of 3, 9, 15, 21, … Common difference of 19, 22, 25, 28, …
✅ Answer key — Common difference
d = 10 d = −10 d = 7 d = −10 d = −6 d = 9 d = −12 d = −4 d = 6 d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 7
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 10, 6, 2, −2 an AP? Is −9, −10, −11, −12 an AP? Is 20, 23, 26, 27 an AP? Is −6, −13, −22, −30 an AP? Is 6, 3, 0, −3 an AP? Is 6, 10, 14, 18 an AP? Is 9, 0, −9, −18 an AP? Is 17, 8, −1, −10 an AP?
✅ Answer key — Is it an AP?
Yes, d = −4 Yes, d = −1 No No Yes, d = −3 Yes, d = 4 Yes, d = −9 Yes, d = −9 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 7
Name: Date: Score: / 8
Find the term.
The 40th term of −12, −5, 2, … The 22nd term of 13, 22, 31, … The 14th term of 9, 8, 7, … The 15th term of −4, −10, −16, … The 30th term of 17, 11, 5, … The 15th term of −16, −21, −26, … The 16th term of −17, −16, −15, … The 31st term of −8, −10, −12, …
✅ Answer key — nth term
261 202 −4 −88 −157 −86 −2 −68 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 7
Name: Date: Score: / 8
Solve.
Which term of −8, −10, −12, … is −76? Which term of −1, −5, −9, … is −33? Which term of −7, −12, −17, … is −72? Which term of −5, −6, −7, … is −38? Which term of 12, 6, 0, … is −48? Which term of 2, −1, −4, … is −94? Which term of 17, 10, 3, … is −291? Which term of −7, −11, −15, … is −159?
✅ Answer key — Which term?
the 35th term the 9th term the 14th term the 34th term the 11th term the 33rd term the 45th 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 7
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 14, 22, 30, … Sum of the first 21 terms of −1, −4, −7, … Sum of the first 16 terms of −2, 3, 8, … Sum of the first 29 terms of 2, 5, 8, … Sum of the first 20 terms of 7, 14, 21, … Sum of the first 10 terms of 7, 15, 23, … Sum of the first 9 terms of 5, 9, 13, … Sum of the first 12 terms of 15, 13, 11, …
✅ Answer key — Sum of n terms
806 −651 568 1276 1470 430 189 48 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 7
Name: Date: Score: / 6
Solve.
Aman saves ₹350 in the first month and ₹40 more every month after that. How much does he save in 6 months? A hall has 19 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 21st row? Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹200 in the first month and ₹40 more every month after that. How much does he save in 10 months? Find the sum of all two-digit numbers that are multiples of 7. A hall has 20 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 10th row?
✅ Answer key — AP word problems
₹2700 79 1665 ₹3800 728 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.
