Free · Class 10 · 6 worksheets · answer keys · practise online · set 20
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 20
Name: Date: Score: / 10
Find d.
Common difference of 2, −5, −12, −19, … Common difference of 7, −4, −15, −26, … Common difference of 4, −2, −8, −14, … Common difference of −18, −8, 2, 12, … Common difference of −1, −9, −17, −25, … Common difference of 10, 22, 34, 46, … Common difference of −18, −29, −40, −51, … Common difference of −12, −2, 8, 18, … Common difference of −15, −25, −35, −45, … Common difference of 4, 7, 10, 13, …
✅ Answer key — Common difference
d = −7 d = −11 d = −6 d = 10 d = −8 d = 12 d = −11 d = 10 d = −10 d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 20
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 14, 5, −4, −13 an AP? Is 17, 11, 5, 0 an AP? Is 0, −6, −14, −18 an AP? Is 1, −6, −13, −20 an AP? Is 10, 20, 28, 37 an AP? Is −7, −8, −5, −4 an AP? Is 4, 0, −4, −6 an AP? Is 4, 10, 16, 19 an AP?
✅ Answer key — Is it an AP?
Yes, d = −9 No No Yes, d = −7 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 20
Name: Date: Score: / 8
Find the term.
The 38th term of 2, −2, −6, … The 15th term of 16, 12, 8, … The 20th term of 4, 6, 8, … The 37th term of −18, −13, −8, … The 31st term of 5, 11, 17, … The 38th term of 3, −3, −9, … The 23rd term of 7, 16, 25, … The 39th term of 5, 13, 21, …
✅ Answer key — nth term
−146 −40 42 162 185 −219 205 309 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 20
Name: Date: Score: / 8
Solve.
Which term of 3, 4, 5, … is 27? Which term of −2, −8, −14, … is −200? Which term of 15, 20, 25, … is 215? Which term of −14, −10, −6, … is 110? Which term of −5, 2, 9, … is 170? Which term of −16, −9, −2, … is 180? Which term of 16, 18, 20, … is 78? Which term of 7, 6, 5, … is −41?
✅ Answer key — Which term?
the 25th term the 34th term the 41st term the 32nd term the 26th term the 29th term the 32nd term the 49th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 20
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of 0, 8, 16, … Sum of the first 17 terms of 3, 8, 13, … Sum of the first 12 terms of −7, −3, 1, … Sum of the first 17 terms of 5, 4, 3, … Sum of the first 8 terms of −8, −9, −10, … Sum of the first 12 terms of 19, 24, 29, … Sum of the first 9 terms of 8, 17, 26, … Sum of the first 26 terms of −10, −8, −6, …
✅ Answer key — Sum of n terms
728 731 180 −51 −92 558 396 390 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 20
Name: Date: Score: / 6
Solve.
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 24 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 29th row? Find the sum of all two-digit numbers that are multiples of 3. A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 11th row? Find the sum of all two-digit numbers that are multiples of 9. Find the sum of all two-digit numbers that are multiples of 8.
✅ Answer key — AP word problems
51 136 1665 43 585 616 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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