Free · Class 10 · 6 worksheets · answer keys · practise online · set 34
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 34
Name: Date: Score: / 10
Find d.
Common difference of −18, −10, −2, 6, … Common difference of 20, 11, 2, −7, … Common difference of 14, 18, 22, 26, … Common difference of −5, −6, −7, −8, … Common difference of 17, 23, 29, 35, … Common difference of −6, −17, −28, −39, … Common difference of −3, 8, 19, 30, … Common difference of −11, −22, −33, −44, … Common difference of 15, 3, −9, −21, … Common difference of 1, 13, 25, 37, …
✅ Answer key — Common difference
d = 8 d = −9 d = 4 d = −1 d = 6 d = −11 d = 11 d = −11 d = −12 d = 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 34
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, 3, 8, 13 an AP? Is 5, 4, 4, 2 an AP? Is 7, 7, 11, 13 an AP? Is 20, 26, 32, 38 an AP? Is 15, 8, 1, −4 an AP? Is 16, 16, 16, 14 an AP? Is 20, 17, 14, 10 an AP? Is 7, 0, −8, −14 an AP?
✅ Answer key — Is it an AP?
Yes, d = 5 No No Yes, d = 6 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 34
Name: Date: Score: / 8
Find the term.
The 11th term of −6, 3, 12, … The 12th term of 6, 7, 8, … The 28th term of −13, −6, 1, … The 27th term of −19, −15, −11, … The 33rd term of −4, 0, 4, … The 11th term of −18, −20, −22, … The 25th term of −12, −5, 2, … The 19th term of 12, 19, 26, …
✅ Answer key — nth term
84 17 176 85 124 −38 156 138 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 34
Name: Date: Score: / 8
Solve.
Which term of −11, −4, 3, … is 304? Which term of 18, 13, 8, … is −217? Which term of 15, 14, 13, … is 2? Which term of 12, 16, 20, … is 196? Which term of −3, −4, −5, … is −51? Which term of −7, −1, 5, … is 269? Which term of 7, −2, −11, … is −92? Which term of 16, 8, 0, … is −368?
✅ Answer key — Which term?
the 46th term the 48th term the 14th term the 47th term the 49th term the 47th term the 12th term the 49th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 34
Name: Date: Score: / 8
Find the sum.
Sum of the first 22 terms of 5, 8, 11, … Sum of the first 14 terms of 17, 14, 11, … Sum of the first 17 terms of 11, 13, 15, … Sum of the first 28 terms of −9, −3, 3, … Sum of the first 11 terms of 20, 15, 10, … Sum of the first 20 terms of 15, 22, 29, … Sum of the first 27 terms of 7, 14, 21, … Sum of the first 23 terms of 0, −5, −10, …
✅ Answer key — Sum of n terms
803 −35 459 2016 −55 1630 2646 −1265 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 34
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 8. Find the sum of all two-digit numbers that are multiples of 6. A hall has 21 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 22nd row? Aman saves ₹450 in the first month and ₹40 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 5. A hall has 20 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 25th row?
✅ Answer key — AP word problems
616 810 84 ₹8040 945 92 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.
