Free · Class 10 · 6 worksheets · answer keys · practise online · set 61
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 61
Name: Date: Score: / 10
Find d.
Common difference of 20, 23, 26, 29, … Common difference of 11, 1, −9, −19, … Common difference of 20, 16, 12, 8, … Common difference of 19, 9, −1, −11, … Common difference of −9, −11, −13, −15, … Common difference of 4, 11, 18, 25, … Common difference of 14, 19, 24, 29, … Common difference of 4, 8, 12, 16, … Common difference of −17, −8, 1, 10, … Common difference of −4, −9, −14, −19, …
✅ Answer key — Common difference
d = 3 d = −10 d = −4 d = −10 d = −2 d = 7 d = 5 d = 4 d = 9 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 61
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 5, 14, 21, 32 an AP? Is −5, −1, 3, 7 an AP? Is 2, −3, −8, −13 an AP? Is 9, 3, −3, −9 an AP? Is −1, −1, −1, −1 an AP? Is 0, 6, 12, 18 an AP? Is 10, 15, 20, 25 an AP? Is 18, 15, 12, 6 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 4 Yes, d = −5 Yes, d = −6 Yes, d = 0 Yes, d = 6 Yes, d = 5 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 61
Name: Date: Score: / 8
Find the term.
The 31st term of 5, −2, −9, … The 11th term of −18, −26, −34, … The 39th term of 19, 27, 35, … The 28th term of 6, −3, −12, … The 17th term of −4, −11, −18, … The 30th term of −18, −14, −10, … The 40th term of −3, −8, −13, … The 36th term of −14, −12, −10, …
✅ Answer key — nth term
−205 −98 323 −237 −116 98 −198 56 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 61
Name: Date: Score: / 8
Solve.
Which term of 4, −3, −10, … is −206? Which term of 1, −1, −3, … is −79? Which term of −10, −18, −26, … is −282? Which term of −10, −7, −4, … is 62? Which term of 18, 19, 20, … is 55? Which term of −14, −23, −32, … is −347? Which term of 6, 10, 14, … is 122? Which term of −5, −8, −11, … is −113?
✅ Answer key — Which term?
the 31st term the 41st term the 35th term the 25th term the 38th term the 38th term the 30th term the 37th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 61
Name: Date: Score: / 8
Find the sum.
Sum of the first 9 terms of 10, 7, 4, … Sum of the first 14 terms of −10, −14, −18, … Sum of the first 16 terms of −8, −3, 2, … Sum of the first 20 terms of 9, 11, 13, … Sum of the first 18 terms of 19, 14, 9, … Sum of the first 19 terms of 4, 6, 8, … Sum of the first 24 terms of 17, 26, 35, … Sum of the first 15 terms of 8, 14, 20, …
✅ Answer key — Sum of n terms
−18 −504 472 560 −423 418 2892 750 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 61
Name: Date: Score: / 6
Solve.
A hall has 13 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 12th row? Aman saves ₹300 in the first month and ₹30 more every month after that. How much does he save in 7 months? Aman saves ₹350 in the first month and ₹70 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 6. Find the sum of all two-digit numbers that are multiples of 4. A hall has 24 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 20th row?
✅ Answer key — AP word problems
57 ₹2730 ₹3150 810 1188 81 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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