Free · Class 10 · 6 worksheets · answer keys · practise online · set 37
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 37
Name: Date: Score: / 10
Find d.
Common difference of −5, 5, 15, 25, … Common difference of 16, 13, 10, 7, … Common difference of −4, −6, −8, −10, … Common difference of 9, 0, −9, −18, … Common difference of −2, −7, −12, −17, … Common difference of −1, −12, −23, −34, … Common difference of 4, 16, 28, 40, … Common difference of 4, 3, 2, 1, … Common difference of −10, −3, 4, 11, … Common difference of 9, 14, 19, 24, …
✅ Answer key — Common difference
d = 10 d = −3 d = −2 d = −9 d = −5 d = −11 d = 12 d = −1 d = 7 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 37
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, 7, 10, 16 an AP? Is 20, 14, 8, 1 an AP? Is 12, 11, 10, 10 an AP? Is 19, 22, 25, 26 an AP? Is 4, 12, 20, 28 an AP? Is −5, −4, −3, −4 an AP? Is 7, 0, −7, −14 an AP? Is 16, 8, 2, −8 an AP?
✅ Answer key — Is it an AP?
No No No No Yes, d = 8 No Yes, d = −7 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 37
Name: Date: Score: / 8
Find the term.
The 32nd term of 11, 9, 7, … The 13th term of −6, 0, 6, … The 22nd term of −15, −24, −33, … The 30th term of −4, 2, 8, … The 38th term of 1, −6, −13, … The 28th term of −1, 2, 5, … The 31st term of −3, −9, −15, … The 27th term of 2, −5, −12, …
✅ Answer key — nth term
−51 66 −204 170 −258 80 −183 −180 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 37
Name: Date: Score: / 8
Solve.
Which term of −19, −21, −23, … is −103? Which term of 4, 7, 10, … is 121? Which term of 10, 13, 16, … is 154? Which term of −6, −1, 4, … is 194? Which term of −19, −11, −3, … is 189? Which term of 17, 26, 35, … is 296? Which term of −19, −14, −9, … is 81? Which term of 0, −2, −4, … is −42?
✅ Answer key — Which term?
the 43rd term the 40th term the 49th term the 41st term the 27th term the 32nd term the 21st term the 22nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 37
Name: Date: Score: / 8
Find the sum.
Sum of the first 21 terms of −10, −13, −16, … Sum of the first 9 terms of −8, −4, 0, … Sum of the first 8 terms of −5, −6, −7, … Sum of the first 24 terms of 9, 7, 5, … Sum of the first 26 terms of −9, −6, −3, … Sum of the first 16 terms of 12, 8, 4, … Sum of the first 15 terms of −9, 0, 9, … Sum of the first 26 terms of −3, 5, 13, …
✅ Answer key — Sum of n terms
−840 72 −68 −336 741 −288 810 2522 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 37
Name: Date: Score: / 6
Solve.
Aman saves ₹100 in the first month and ₹30 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 7. A hall has 19 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 10th row? 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 13 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 22nd row?
✅ Answer key — AP word problems
₹1050 728 55 810 1188 55 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.
Are these worksheets free? Yes — print them or save as PDF free. Every worksheet has an answer key.
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