Free · Class 10 · 6 worksheets · answer keys · practise online · set 92
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 92
Name: Date: Score: / 10
Find d.
Common difference of −2, −11, −20, −29, … Common difference of 2, 9, 16, 23, … Common difference of −10, −8, −6, −4, … Common difference of 9, 0, −9, −18, … Common difference of −17, −15, −13, −11, … Common difference of 17, 15, 13, 11, … Common difference of −4, −16, −28, −40, … Common difference of 13, 5, −3, −11, … Common difference of −16, −12, −8, −4, … Common difference of 5, −3, −11, −19, …
✅ Answer key — Common difference
d = −9 d = 7 d = 2 d = −9 d = 2 d = −2 d = −12 d = −8 d = 4 d = −8 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 92
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −5, 1, 5, 10 an AP? Is 7, −1, −7, −17 an AP? Is 3, 6, 9, 12 an AP? Is 3, −2, −7, −12 an AP? Is 1, 1, 2, 1 an AP? Is −10, −17, −24, −31 an AP? Is 3, 1, 3, 3 an AP? Is −6, −15, −26, −33 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 3 Yes, d = −5 No Yes, d = −7 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 92
Name: Date: Score: / 8
Find the term.
The 33rd term of 14, 23, 32, … The 29th term of 6, −2, −10, … The 17th term of 8, 11, 14, … The 27th term of −3, −2, −1, … The 13th term of 0, −1, −2, … The 30th term of −2, 3, 8, … The 40th term of −13, −6, 1, … The 11th term of −8, −13, −18, …
✅ Answer key — nth term
302 −218 56 23 −12 143 260 −58 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 92
Name: Date: Score: / 8
Solve.
Which term of −14, −6, 2, … is 114? Which term of −13, −22, −31, … is −256? Which term of −7, −4, −1, … is 104? Which term of −13, −16, −19, … is −73? Which term of 14, 18, 22, … is 114? Which term of 11, 19, 27, … is 291? Which term of 5, 8, 11, … is 26? Which term of −19, −15, −11, … is 97?
✅ Answer key — Which term?
the 17th term the 28th term the 38th term the 21st term the 26th term the 36th term the 8th term the 30th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 92
Name: Date: Score: / 8
Find the sum.
Sum of the first 22 terms of −10, −15, −20, … Sum of the first 19 terms of 11, 14, 17, … Sum of the first 13 terms of 2, 3, 4, … Sum of the first 8 terms of −4, 5, 14, … Sum of the first 9 terms of 14, 21, 28, … Sum of the first 11 terms of −9, −2, 5, … Sum of the first 9 terms of 9, 17, 25, … Sum of the first 23 terms of −3, −4, −5, …
✅ Answer key — Sum of n terms
−1375 722 104 220 378 286 369 −322 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 92
Name: Date: Score: / 6
Solve.
Aman saves ₹300 in the first month and ₹50 more every month after that. How much does he save in 9 months? A hall has 18 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 22nd row? Aman saves ₹300 in the first month and ₹80 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 6. Find the sum of all two-digit numbers that are multiples of 5. 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 13th row?
✅ Answer key — AP word problems
₹4500 102 ₹8880 810 945 44 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.
