Free · Class 10 · 6 worksheets · answer keys · practise online · set 22
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 22
Name: Date: Score: / 10
Find d.
Common difference of 14, 9, 4, −1, … Common difference of 11, 8, 5, 2, … Common difference of 5, 4, 3, 2, … Common difference of −13, −17, −21, −25, … Common difference of 10, 17, 24, 31, … Common difference of −20, −9, 2, 13, … Common difference of 19, 26, 33, 40, … Common difference of −20, −10, 0, 10, … Common difference of −18, −26, −34, −42, … Common difference of 12, 3, −6, −15, …
✅ Answer key — Common difference
d = −5 d = −3 d = −1 d = −4 d = 7 d = 11 d = 7 d = 10 d = −8 d = −9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 22
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 4, 5, 8, 10 an AP? Is −1, 2, 5, 8 an AP? Is 18, 19, 20, 19 an AP? Is 2, 5, 8, 11 an AP? Is −2, −8, −14, −20 an AP? Is 4, 1, −2, −5 an AP? Is −1, −10, −13, −19 an AP? Is 13, 6, −1, −8 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 3 No Yes, d = 3 Yes, d = −6 Yes, d = −3 No Yes, d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 22
Name: Date: Score: / 8
Find the term.
The 18th term of −10, −11, −12, … The 31st term of 1, −4, −9, … The 39th term of −1, 2, 5, … The 27th term of −19, −27, −35, … The 12th term of −13, −7, −1, … The 35th term of −16, −24, −32, … The 40th term of 18, 21, 24, … The 29th term of 6, 13, 20, …
✅ Answer key — nth term
−27 −149 113 −227 53 −288 135 202 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 22
Name: Date: Score: / 8
Solve.
Which term of −15, −19, −23, … is −99? Which term of −20, −29, −38, … is −290? Which term of 13, 15, 17, … is 47? Which term of 9, 18, 27, … is 414? Which term of −14, −20, −26, … is −254? Which term of 1, −7, −15, … is −63? Which term of −2, −4, −6, … is −86? Which term of 2, 11, 20, … is 110?
✅ Answer key — Which term?
the 22nd term the 31st term the 18th term the 46th term the 41st term the 9th term the 43rd term the 13th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 22
Name: Date: Score: / 8
Find the sum.
Sum of the first 25 terms of 13, 11, 9, … Sum of the first 14 terms of 5, 4, 3, … Sum of the first 18 terms of 10, 13, 16, … Sum of the first 22 terms of 1, 6, 11, … Sum of the first 20 terms of −6, −1, 4, … Sum of the first 10 terms of 11, 8, 5, … Sum of the first 13 terms of −5, −6, −7, … Sum of the first 15 terms of 14, 16, 18, …
✅ Answer key — Sum of n terms
−275 −21 639 1177 830 −25 −143 420 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 22
Name: Date: Score: / 6
Solve.
A hall has 25 seats in the first row and 2 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 9. Find the sum of all two-digit numbers that are multiples of 4. 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 20th row? A hall has 29 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 16th row? Aman saves ₹150 in the first month and ₹100 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
81 585 1188 89 89 ₹8400 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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