Free · Class 10 · 6 worksheets · answer keys · practise online · set 82
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 82
Name: Date: Score: / 10
Find d.
Common difference of −10, −21, −32, −43, … Common difference of 12, 6, 0, −6, … Common difference of −1, −12, −23, −34, … Common difference of 10, 16, 22, 28, … Common difference of 10, 3, −4, −11, … Common difference of −9, −20, −31, −42, … Common difference of 8, 3, −2, −7, … Common difference of 16, 9, 2, −5, … Common difference of −10, −22, −34, −46, … Common difference of 16, 5, −6, −17, …
✅ Answer key — Common difference
d = −11 d = −6 d = −11 d = 6 d = −7 d = −11 d = −5 d = −7 d = −12 d = −11 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Is it an AP? Class 10 · Worksheet 2 · set 82
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, −5, −6, −8 an AP? Is 18, 16, 14, 12 an AP? Is 14, 6, −2, −10 an AP? Is 9, 17, 25, 35 an AP? Is 6, 8, 10, 12 an AP? Is 9, 18, 27, 36 an AP? Is 5, 6, 7, 8 an AP? Is 4, 1, −5, −5 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −2 Yes, d = −8 No Yes, d = 2 Yes, d = 9 Yes, d = 1 No TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
nth term Class 10 · Worksheet 3 · set 82
Name: Date: Score: / 8
Find the term.
The 18th term of 13, 20, 27, … The 25th term of −2, −9, −16, … The 22nd term of −19, −25, −31, … The 24th term of 1, −4, −9, … The 39th term of 14, 21, 28, … The 36th term of 5, 1, −3, … The 21st term of 1, 10, 19, … The 23rd term of −3, −2, −1, …
✅ Answer key — nth term
132 −170 −145 −114 280 −135 181 19 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Which term? Class 10 · Worksheet 4 · set 82
Name: Date: Score: / 8
Solve.
Which term of 5, 10, 15, … is 95? Which term of −17, −22, −27, … is −112? Which term of 13, 17, 21, … is 133? Which term of 9, 1, −7, … is −79? Which term of −1, −6, −11, … is −241? Which term of −5, −3, −1, … is 21? Which term of 19, 26, 33, … is 110? Which term of −6, −12, −18, … is −222?
✅ Answer key — Which term?
the 19th term the 20th term the 31st term the 12th term the 49th term the 14th term the 14th term the 37th term TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
Sum of n terms Class 10 · Worksheet 5 · set 82
Name: Date: Score: / 8
Find the sum.
Sum of the first 18 terms of 8, 3, −2, … Sum of the first 8 terms of −10, −8, −6, … Sum of the first 17 terms of 7, 14, 21, … Sum of the first 13 terms of 3, 7, 11, … Sum of the first 13 terms of 11, 13, 15, … Sum of the first 12 terms of 3, 6, 9, … Sum of the first 10 terms of 9, 10, 11, … Sum of the first 17 terms of 13, 17, 21, …
✅ Answer key — Sum of n terms
−621 −24 1071 351 299 234 135 765 TalentJR · talentjr.in/arithmetic-progression-worksheet
🖨️ Print / save as PDF
✅ Show answers
▶️ Practise online
AP word problems Class 10 · Worksheet 6 · set 82
Name: Date: Score: / 6
Solve.
Aman saves ₹400 in the first month and ₹20 more every month after that. How much does he save in 9 months? Aman saves ₹200 in the first month and ₹80 more every month after that. How much does he save in 10 months? Aman saves ₹350 in the first month and ₹70 more every month after that. How much does he save in 12 months? Aman saves ₹450 in the first month and ₹50 more every month after that. How much does he save in 7 months? Find the sum of all two-digit numbers that are multiples of 7. A hall has 27 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 21st row?
✅ Answer key — AP word problems
₹4320 ₹5600 ₹8820 ₹4200 728 107 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.
