Free · Class 10 · 6 worksheets · answer keys · practise online · set 26
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 26
Name: Date: Score: / 10
Find d.
Common difference of 13, 4, −5, −14, … Common difference of 12, 3, −6, −15, … Common difference of 5, 12, 19, 26, … Common difference of 17, 10, 3, −4, … Common difference of −16, −8, 0, 8, … Common difference of −6, −12, −18, −24, … Common difference of 17, 6, −5, −16, … Common difference of −16, −14, −12, −10, … Common difference of 11, 9, 7, 5, … Common difference of 20, 26, 32, 38, …
✅ Answer key — Common difference
d = −9 d = −9 d = 7 d = −7 d = 8 d = −6 d = −11 d = 2 d = −2 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 26
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 21, 25, 26 an AP? Is 14, 22, 28, 38 an AP? Is −5, 0, 5, 10 an AP? Is 1, 3, 5, 7 an AP? Is 4, 12, 20, 28 an AP? Is −8, 0, 11, 16 an AP? Is 6, 5, 6, 6 an AP? Is 13, 11, 9, 7 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 5 Yes, d = 2 Yes, d = 8 No No Yes, d = −2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 26
Name: Date: Score: / 8
Find the term.
The 23rd term of −16, −18, −20, … The 32nd term of −17, −20, −23, … The 40th term of −15, −10, −5, … The 19th term of −17, −14, −11, … The 11th term of 7, 14, 21, … The 18th term of −17, −13, −9, … The 30th term of 16, 10, 4, … The 20th term of 18, 27, 36, …
✅ Answer key — nth term
−60 −110 180 37 77 51 −158 189 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 26
Name: Date: Score: / 8
Solve.
Which term of −14, −11, −8, … is 121? Which term of −4, −3, −2, … is 12? Which term of 20, 13, 6, … is −99? Which term of −2, 4, 10, … is 136? Which term of −18, −27, −36, … is −99? Which term of −11, −13, −15, … is −31? Which term of 2, 10, 18, … is 106? Which term of 12, 6, 0, … is −108?
✅ Answer key — Which term?
the 46th term the 17th term the 18th term the 24th term the 10th term the 11th term the 14th term the 21st term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 26
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of −10, −2, 6, … Sum of the first 30 terms of −9, −13, −17, … Sum of the first 16 terms of −7, −8, −9, … Sum of the first 28 terms of 3, 9, 15, … Sum of the first 21 terms of 0, 1, 2, … Sum of the first 25 terms of −9, −1, 7, … Sum of the first 12 terms of 8, 6, 4, … Sum of the first 11 terms of 3, 0, −3, …
✅ Answer key — Sum of n terms
494 −2010 −232 2352 210 2175 −36 −132 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 26
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 7. A hall has 17 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 17th row? 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 15th row? Aman saves ₹400 in the first month and ₹30 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 9. Aman saves ₹400 in the first month and ₹100 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
728 81 69 ₹6050 585 ₹11400 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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