Free · Class 10 · 6 worksheets · answer keys · practise online · set 91
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 91
Name: Date: Score: / 10
Find d.
Common difference of −15, −11, −7, −3, … Common difference of 1, 9, 17, 25, … Common difference of 16, 28, 40, 52, … Common difference of 7, 12, 17, 22, … Common difference of −15, −12, −9, −6, … Common difference of −6, −15, −24, −33, … Common difference of 18, 20, 22, 24, … Common difference of −16, −6, 4, 14, … Common difference of −6, −14, −22, −30, … Common difference of 1, −1, −3, −5, …
✅ Answer key — Common difference
d = 4 d = 8 d = 12 d = 5 d = 3 d = −9 d = 2 d = 10 d = −8 d = −2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 91
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 3, 5, 7, 6 an AP? Is 12, 6, 0, −6 an AP? Is 14, 8, 4, −1 an AP? Is 6, 3, 0, −3 an AP? Is −10, −10, −10, −7 an AP? Is −7, −3, 1, 6 an AP? Is 2, −6, −14, −19 an AP? Is 2, −4, −10, −16 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −6 No Yes, d = −3 No No No Yes, d = −6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 91
Name: Date: Score: / 8
Find the term.
The 20th term of −10, −8, −6, … The 17th term of −2, −11, −20, … The 20th term of 10, 14, 18, … The 11th term of 4, −3, −10, … The 35th term of −16, −13, −10, … The 25th term of 20, 25, 30, … The 35th term of −14, −13, −12, … The 21st term of −10, −11, −12, …
✅ Answer key — nth term
28 −146 86 −66 86 140 20 −30 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 91
Name: Date: Score: / 8
Solve.
Which term of 17, 11, 5, … is −97? Which term of 13, 15, 17, … is 33? Which term of −13, −16, −19, … is −100? Which term of 18, 22, 26, … is 178? Which term of 20, 29, 38, … is 182? Which term of 11, 18, 25, … is 137? Which term of −10, −5, 0, … is 35? Which term of 3, −5, −13, … is −173?
✅ Answer key — Which term?
the 20th term the 11th term the 30th term the 41st term the 19th term the 19th term the 10th term the 23rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 91
Name: Date: Score: / 8
Find the sum.
Sum of the first 24 terms of 18, 22, 26, … Sum of the first 15 terms of −4, −7, −10, … Sum of the first 8 terms of −5, 0, 5, … Sum of the first 26 terms of 18, 13, 8, … Sum of the first 27 terms of 10, 9, 8, … Sum of the first 24 terms of −8, −12, −16, … Sum of the first 8 terms of 9, 12, 15, … Sum of the first 29 terms of 5, 1, −3, …
✅ Answer key — Sum of n terms
1536 −375 100 −1157 −81 −1296 156 −1479 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 91
Name: Date: Score: / 6
Solve.
Aman saves ₹150 in the first month and ₹80 more every month after that. How much does he save in 8 months? Find the sum of all two-digit numbers that are multiples of 7. A hall has 25 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 24th row? Aman saves ₹100 in the first month and ₹40 more every month after that. How much does he save in 11 months? Find the sum of all two-digit numbers that are multiples of 4. A hall has 11 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 15th row?
✅ Answer key — AP word problems
₹3440 728 94 ₹3300 1188 67 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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