Free · Class 10 · 6 worksheets · answer keys · practise online · set 60
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.
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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 60
Name: Date: Score: / 10
Find d.
Common difference of −5, 3, 11, 19, … Common difference of −12, −2, 8, 18, … Common difference of 2, −3, −8, −13, … Common difference of −17, −24, −31, −38, … Common difference of 10, 13, 16, 19, … Common difference of −16, −8, 0, 8, … Common difference of 8, −1, −10, −19, … Common difference of −6, 2, 10, 18, … Common difference of 20, 32, 44, 56, … Common difference of 18, 28, 38, 48, …
✅ Answer key — Common difference
d = 8 d = 10 d = −5 d = −7 d = 3 d = 8 d = −9 d = 8 d = 12 d = 10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 60
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −14, −20, −26 an AP? Is 18, 20, 22, 21 an AP? Is −10, −16, −22, −28 an AP? Is −1, −3, −7, −10 an AP? Is 2, 2, 2, 2 an AP? Is 4, −2, −8, −14 an AP? Is 20, 20, 20, 20 an AP? Is −1, −5, −9, −13 an AP?
✅ Answer key — Is it an AP?
Yes, d = −6 No Yes, d = −6 No Yes, d = 0 Yes, d = −6 Yes, d = 0 Yes, d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 60
Name: Date: Score: / 8
Find the term.
The 13th term of −4, 0, 4, … The 12th term of 15, 6, −3, … The 18th term of −17, −20, −23, … The 21st term of 3, 9, 15, … The 27th term of 15, 23, 31, … The 40th term of −13, −17, −21, … The 24th term of 14, 5, −4, … The 12th term of −9, −10, −11, …
✅ Answer key — nth term
44 −84 −68 123 223 −169 −193 −20 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 60
Name: Date: Score: / 8
Solve.
Which term of −16, −18, −20, … is −86? Which term of −7, 2, 11, … is 380? Which term of 8, 9, 10, … is 18? Which term of −9, 0, 9, … is 126? Which term of −6, −4, −2, … is 68? Which term of −14, −9, −4, … is 76? Which term of −16, −25, −34, … is −412? Which term of 10, 19, 28, … is 244?
✅ Answer key — Which term?
the 36th term the 44th term the 11th term the 16th term the 38th term the 19th term the 45th term the 27th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 60
Name: Date: Score: / 8
Find the sum.
Sum of the first 25 terms of −5, −10, −15, … Sum of the first 23 terms of 5, 0, −5, … Sum of the first 18 terms of −7, −3, 1, … Sum of the first 16 terms of 7, 14, 21, … Sum of the first 25 terms of −4, 3, 10, … Sum of the first 28 terms of 2, 1, 0, … Sum of the first 19 terms of −6, −8, −10, … Sum of the first 18 terms of 10, 5, 0, …
✅ Answer key — Sum of n terms
−1625 −1150 486 952 2000 −322 −456 −585 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 60
Name: Date: Score: / 6
Solve.
A hall has 19 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 13th row? Find the sum of all two-digit numbers that are multiples of 7. Aman saves ₹450 in the first month and ₹70 more every month after that. How much does he save in 9 months? Aman saves ₹250 in the first month and ₹20 more every month after that. How much does he save in 10 months? A hall has 11 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 24th row? Find the sum of all two-digit numbers that are multiples of 6.
✅ Answer key — AP word problems
55 728 ₹6570 ₹3400 103 810 TalentJR · talentjr.in/arithmetic-progression-worksheet
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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.
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