Free · Class 10 · 6 worksheets · answer keys · practise online · set 74
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 74
Name: Date: Score: / 10
Find d.
Common difference of 5, −3, −11, −19, … Common difference of 2, 3, 4, 5, … Common difference of −15, −19, −23, −27, … Common difference of 17, 18, 19, 20, … Common difference of −19, −18, −17, −16, … Common difference of 19, 13, 7, 1, … Common difference of −1, 2, 5, 8, … Common difference of −15, −5, 5, 15, … Common difference of −12, −19, −26, −33, … Common difference of 4, 11, 18, 25, …
✅ Answer key — Common difference
d = −8 d = 1 d = −4 d = 1 d = 1 d = −6 d = 3 d = 10 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 74
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 6, 10, 8, 9 an AP? Is −10, −1, 8, 17 an AP? Is 9, 12, 15, 18 an AP? Is 7, 14, 21, 28 an AP? Is 4, 4, 4, 4 an AP? Is 11, 11, 11, 14 an AP? Is 20, 11, 2, −7 an AP? Is 16, 23, 30, 37 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 9 Yes, d = 3 Yes, d = 7 Yes, d = 0 No Yes, d = −9 Yes, d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 74
Name: Date: Score: / 8
Find the term.
The 34th term of −7, 1, 9, … The 38th term of −14, −23, −32, … The 19th term of 1, 5, 9, … The 11th term of −14, −23, −32, … The 18th term of −14, −6, 2, … The 29th term of 2, −3, −8, … The 24th term of −11, −12, −13, … The 16th term of −15, −16, −17, …
✅ Answer key — nth term
257 −347 73 −104 122 −138 −34 −30 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 74
Name: Date: Score: / 8
Solve.
Which term of 16, 19, 22, … is 127? Which term of 2, −3, −8, … is −238? Which term of −12, −20, −28, … is −132? Which term of −18, −26, −34, … is −178? Which term of −1, −2, −3, … is −20? Which term of −18, −14, −10, … is 134? Which term of −19, −12, −5, … is 303? Which term of −17, −10, −3, … is 207?
✅ Answer key — Which term?
the 38th term the 49th term the 16th term the 21st term the 20th term the 39th term the 47th term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 74
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 15, 11, 7, … Sum of the first 13 terms of 0, 4, 8, … Sum of the first 21 terms of 17, 25, 33, … Sum of the first 17 terms of 6, 4, 2, … Sum of the first 20 terms of 1, 2, 3, … Sum of the first 18 terms of 18, 21, 24, … Sum of the first 19 terms of −3, −6, −9, … Sum of the first 10 terms of −3, 0, 3, …
✅ Answer key — Sum of n terms
−117 312 2037 −170 210 783 −570 105 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 74
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 9. A hall has 17 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 16th row? Aman saves ₹150 in the first month and ₹80 more every month after that. How much does he save in 6 months? Aman saves ₹350 in the first month and ₹80 more every month after that. How much does he save in 9 months? Find the sum of all two-digit numbers that are multiples of 7.
✅ Answer key — AP word problems
1665 585 47 ₹2100 ₹6030 728 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.
