Free · Class 10 · 6 worksheets · answer keys · practise online · set 67
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 67
Name: Date: Score: / 10
Find d.
Common difference of −20, −30, −40, −50, … Common difference of 2, 9, 16, 23, … Common difference of −7, −9, −11, −13, … Common difference of 16, 9, 2, −5, … Common difference of 2, −10, −22, −34, … Common difference of 18, 15, 12, 9, … Common difference of −18, −25, −32, −39, … Common difference of −17, −21, −25, −29, … Common difference of −2, −13, −24, −35, … Common difference of 3, 11, 19, 27, …
✅ Answer key — Common difference
d = −10 d = 7 d = −2 d = −7 d = −12 d = −3 d = −7 d = −4 d = −11 d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 67
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −2, 4, 10 an AP? Is 12, 12, 12, 12 an AP? Is −1, 0, 1, 5 an AP? Is 17, 16, 15, 11 an AP? Is 20, 14, 8, 2 an AP? Is 5, 2, −1, −2 an AP? Is 16, 12, 8, 2 an AP? Is 1, 0, −7, −11 an AP?
✅ Answer key — Is it an AP?
Yes, d = 6 Yes, d = 0 No No Yes, d = −6 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 67
Name: Date: Score: / 8
Find the term.
The 40th term of 5, 7, 9, … The 14th term of −5, −4, −3, … The 27th term of 18, 19, 20, … The 23rd term of −3, −2, −1, … The 10th term of 6, −3, −12, … The 39th term of −11, −14, −17, … The 17th term of 9, 5, 1, … The 20th term of −4, 0, 4, …
✅ Answer key — nth term
83 8 44 19 −75 −125 −55 72 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 67
Name: Date: Score: / 8
Solve.
Which term of 16, 22, 28, … is 160? Which term of 10, 2, −6, … is −54? Which term of −2, −11, −20, … is −326? Which term of −12, −7, −2, … is 103? Which term of 8, 1, −6, … is −174? Which term of 19, 17, 15, … is −73? Which term of 14, 20, 26, … is 86? Which term of −4, −11, −18, … is −284?
✅ Answer key — Which term?
the 25th term the 9th term the 37th term the 24th term the 27th term the 47th term the 13th term the 41st term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 67
Name: Date: Score: / 8
Find the sum.
Sum of the first 24 terms of 16, 12, 8, … Sum of the first 21 terms of 0, 9, 18, … Sum of the first 14 terms of −9, −12, −15, … Sum of the first 26 terms of 12, 13, 14, … Sum of the first 20 terms of −4, 3, 10, … Sum of the first 13 terms of 12, 17, 22, … Sum of the first 13 terms of 1, 9, 17, … Sum of the first 21 terms of −7, −10, −13, …
✅ Answer key — Sum of n terms
−720 1890 −399 637 1250 546 637 −777 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 67
Name: Date: Score: / 6
Solve.
A hall has 10 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 25th row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 14 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 25th row? Find the sum of all two-digit numbers that are multiples of 4. Aman saves ₹250 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 8.
✅ Answer key — AP word problems
58 945 62 1188 ₹2550 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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