Free · Class 10 · 6 worksheets · answer keys · practise online · set 65
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 65
Name: Date: Score: / 10
Find d.
Common difference of −9, −19, −29, −39, … Common difference of −18, −10, −2, 6, … Common difference of 16, 7, −2, −11, … Common difference of −9, −16, −23, −30, … Common difference of −15, −9, −3, 3, … Common difference of 7, 10, 13, 16, … Common difference of 12, 0, −12, −24, … Common difference of −17, −11, −5, 1, … Common difference of 0, 8, 16, 24, … Common difference of 18, 9, 0, −9, …
✅ Answer key — Common difference
d = −10 d = 8 d = −9 d = −7 d = 6 d = 3 d = −12 d = 6 d = 8 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 65
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 9, 1, −4, −15 an AP? Is 20, 20, 20, 20 an AP? Is −9, −17, −25, −33 an AP? Is −5, −1, 3, 7 an AP? Is 9, 3, −3, −9 an AP? Is 13, 16, 19, 22 an AP? Is 3, 4, 5, 9 an AP? Is −5, 3, 11, 19 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 0 Yes, d = −8 Yes, d = 4 Yes, d = −6 Yes, d = 3 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 65
Name: Date: Score: / 8
Find the term.
The 21st term of 17, 11, 5, … The 26th term of 5, −2, −9, … The 34th term of −5, 3, 11, … The 10th term of 2, 10, 18, … The 19th term of −17, −11, −5, … The 39th term of 17, 13, 9, … The 27th term of 9, 2, −5, … The 31st term of 4, 8, 12, …
✅ Answer key — nth term
−103 −170 259 74 91 −135 −173 124 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 65
Name: Date: Score: / 8
Solve.
Which term of −19, −18, −17, … is −11? Which term of 0, 8, 16, … is 288? Which term of 13, 14, 15, … is 21? Which term of −7, 2, 11, … is 74? Which term of −8, −4, 0, … is 108? Which term of 17, 18, 19, … is 38? Which term of −1, 7, 15, … is 255? Which term of −20, −28, −36, … is −260?
✅ Answer key — Which term?
the 9th term the 37th term the 9th term the 10th term the 30th term the 22nd term the 33rd term the 31st term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 65
Name: Date: Score: / 8
Find the sum.
Sum of the first 11 terms of −10, −15, −20, … Sum of the first 15 terms of −6, 0, 6, … Sum of the first 19 terms of −2, 1, 4, … Sum of the first 21 terms of −4, −7, −10, … Sum of the first 9 terms of 20, 17, 14, … Sum of the first 16 terms of 17, 14, 11, … Sum of the first 12 terms of 16, 11, 6, … Sum of the first 24 terms of 17, 20, 23, …
✅ Answer key — Sum of n terms
−385 540 475 −714 72 −88 −138 1236 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 65
Name: Date: Score: / 6
Solve.
Aman saves ₹500 in the first month and ₹20 more every month after that. How much does he save in 12 months? Find the sum of all two-digit numbers that are multiples of 4. A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 23rd row? Aman saves ₹250 in the first month and ₹70 more every month after that. How much does he save in 11 months? Find the sum of all two-digit numbers that are multiples of 8. 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 12th row?
✅ Answer key — AP word problems
₹7320 1188 67 ₹6600 616 63 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.
