Free · Class 10 · 6 worksheets · answer keys · practise online · set 56
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 56
Name: Date: Score: / 10
Find d.
Common difference of −12, −2, 8, 18, … Common difference of 18, 7, −4, −15, … Common difference of −19, −12, −5, 2, … Common difference of −12, −13, −14, −15, … Common difference of 10, 0, −10, −20, … Common difference of −7, −4, −1, 2, … Common difference of −1, −13, −25, −37, … Common difference of −7, 3, 13, 23, … Common difference of −9, −20, −31, −42, … Common difference of −13, −8, −3, 2, …
✅ Answer key — Common difference
d = 10 d = −11 d = 7 d = −1 d = −10 d = 3 d = −12 d = 10 d = −11 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 56
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 20, 29, 38, 47 an AP? Is 17, 10, 3, −4 an AP? Is −8, −13, −18, −23 an AP? Is −8, −2, 5, 10 an AP? Is −4, −5, −10, −13 an AP? Is −9, −16, −25, −30 an AP? Is 2, 14, 20, 29 an AP? Is 13, 11, 9, 4 an AP?
✅ Answer key — Is it an AP?
Yes, d = 9 Yes, d = −7 Yes, d = −5 No No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 56
Name: Date: Score: / 8
Find the term.
The 20th term of 0, −2, −4, … The 30th term of −3, −2, −1, … The 12th term of −15, −16, −17, … The 38th term of −17, −8, 1, … The 13th term of −9, −3, 3, … The 32nd term of −12, −3, 6, … The 38th term of 11, 5, −1, … The 15th term of 2, −3, −8, …
✅ Answer key — nth term
−38 26 −26 316 63 267 −211 −68 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 56
Name: Date: Score: / 8
Solve.
Which term of −17, −8, 1, … is 343? Which term of 20, 27, 34, … is 314? Which term of 5, −3, −11, … is −107? Which term of 20, 29, 38, … is 353? Which term of 8, 10, 12, … is 50? Which term of 4, 8, 12, … is 96? Which term of 17, 13, 9, … is −59? Which term of −10, −12, −14, … is −80?
✅ Answer key — Which term?
the 41st term the 43rd term the 15th term the 38th term the 22nd term the 24th term the 20th term the 36th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 56
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 20, 15, 10, … Sum of the first 15 terms of −4, 3, 10, … Sum of the first 17 terms of 19, 18, 17, … Sum of the first 11 terms of 18, 20, 22, … Sum of the first 23 terms of 4, 5, 6, … Sum of the first 17 terms of 17, 12, 7, … Sum of the first 13 terms of 20, 19, 18, … Sum of the first 10 terms of 18, 27, 36, …
✅ Answer key — Sum of n terms
−25 675 187 308 345 −391 182 585 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 56
Name: Date: Score: / 6
Solve.
Aman saves ₹200 in the first month and ₹30 more every month after that. How much does he save in 9 months? A hall has 18 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 12th row? A hall has 18 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 15th row? A hall has 14 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 10th row? A hall has 27 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row? Aman saves ₹100 in the first month and ₹70 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
₹2880 51 60 41 93 ₹3420 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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