Free · Class 10 · 6 worksheets · answer keys · practise online · set 52
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 52
Name: Date: Score: / 10
Find d.
Common difference of 0, 8, 16, 24, … Common difference of 19, 17, 15, 13, … Common difference of 10, 13, 16, 19, … Common difference of 4, 3, 2, 1, … Common difference of −6, 6, 18, 30, … Common difference of 4, −8, −20, −32, … Common difference of 11, 6, 1, −4, … Common difference of −8, −13, −18, −23, … Common difference of −19, −28, −37, −46, … Common difference of 14, 3, −8, −19, …
✅ Answer key — Common difference
d = 8 d = −2 d = 3 d = −1 d = 12 d = −12 d = −5 d = −5 d = −9 d = −11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 52
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 12, 4, −4, −12 an AP? Is 5, 6, 7, 8 an AP? Is 1, −3, −7, −11 an AP? Is 19, 10, 1, −8 an AP? Is 13, 9, 5, 2 an AP? Is 15, 23, 31, 39 an AP? Is −5, −12, −19, −26 an AP? Is −8, −5, −2, 1 an AP?
✅ Answer key — Is it an AP?
Yes, d = −8 Yes, d = 1 Yes, d = −4 Yes, d = −9 No Yes, d = 8 Yes, d = −7 Yes, d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 52
Name: Date: Score: / 8
Find the term.
The 40th term of 18, 14, 10, … The 21st term of −5, −10, −15, … The 31st term of 20, 16, 12, … The 19th term of 15, 12, 9, … The 25th term of 7, 13, 19, … The 25th term of −13, −16, −19, … The 12th term of −7, −12, −17, … The 24th term of 20, 14, 8, …
✅ Answer key — nth term
−138 −105 −100 −39 151 −85 −62 −118 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 52
Name: Date: Score: / 8
Solve.
Which term of −17, −12, −7, … is 173? Which term of −1, 7, 15, … is 343? Which term of 11, 17, 23, … is 197? Which term of −13, −18, −23, … is −153? Which term of −7, −11, −15, … is −87? Which term of −3, −5, −7, … is −101? Which term of 0, −4, −8, … is −48? Which term of 12, 6, 0, … is −234?
✅ Answer key — Which term?
the 39th term the 44th term the 32nd term the 29th term the 21st term the 50th term the 13th term the 42nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 52
Name: Date: Score: / 8
Find the sum.
Sum of the first 19 terms of 17, 18, 19, … Sum of the first 15 terms of 5, 14, 23, … Sum of the first 26 terms of 15, 16, 17, … Sum of the first 25 terms of 2, 11, 20, … Sum of the first 8 terms of −8, −7, −6, … Sum of the first 23 terms of −3, −7, −11, … Sum of the first 10 terms of 14, 18, 22, … Sum of the first 13 terms of 7, 3, −1, …
✅ Answer key — Sum of n terms
494 1020 715 2750 −36 −1081 320 −221 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 52
Name: Date: Score: / 6
Solve.
Aman saves ₹500 in the first month and ₹90 more every month after that. How much does he save in 10 months? Find the sum of all two-digit numbers that are multiples of 6. A hall has 26 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row? Aman saves ₹200 in the first month and ₹100 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 8. A hall has 25 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 21st row?
✅ Answer key — AP word problems
₹9050 810 104 ₹9000 616 65 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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