Free · Class 10 · 6 worksheets · answer keys · practise online · set 58
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 58
Name: Date: Score: / 10
Find d.
Common difference of 11, 13, 15, 17, … Common difference of −19, −28, −37, −46, … Common difference of −17, −19, −21, −23, … Common difference of −15, −25, −35, −45, … Common difference of −7, −8, −9, −10, … Common difference of 0, −2, −4, −6, … Common difference of 5, 3, 1, −1, … Common difference of 15, 14, 13, 12, … Common difference of 3, 2, 1, 0, … Common difference of 12, 7, 2, −3, …
✅ Answer key — Common difference
d = 2 d = −9 d = −2 d = −10 d = −1 d = −2 d = −2 d = −1 d = −1 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 58
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −16, −24, −34 an AP? Is 18, 18, 18, 18 an AP? Is 13, 16, 19, 22 an AP? Is 0, 6, 12, 18 an AP? Is −3, 6, 15, 24 an AP? Is −1, 2, 5, 10 an AP? Is 3, −3, −9, −15 an AP? Is −2, −9, −16, −24 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 0 Yes, d = 3 Yes, d = 6 Yes, d = 9 No Yes, d = −6 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 58
Name: Date: Score: / 8
Find the term.
The 23rd term of −11, −12, −13, … The 25th term of 2, −1, −4, … The 30th term of −17, −16, −15, … The 24th term of −11, −16, −21, … The 15th term of −11, −14, −17, … The 23rd term of 18, 9, 0, … The 38th term of 14, 23, 32, … The 12th term of 4, 5, 6, …
✅ Answer key — nth term
−33 −70 12 −126 −53 −180 347 15 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 58
Name: Date: Score: / 8
Solve.
Which term of 16, 25, 34, … is 178? Which term of −5, −4, −3, … is 4? Which term of −9, −5, −1, … is 107? Which term of 20, 26, 32, … is 206? Which term of −3, 0, 3, … is 84? Which term of 0, 6, 12, … is 252? Which term of −18, −14, −10, … is 130? Which term of −2, 6, 14, … is 382?
✅ Answer key — Which term?
the 19th term the 10th term the 30th term the 32nd term the 30th term the 43rd term the 38th term the 49th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 58
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of 6, 5, 4, … Sum of the first 20 terms of −8, −12, −16, … Sum of the first 26 terms of −5, −3, −1, … Sum of the first 20 terms of −8, −3, 2, … Sum of the first 27 terms of 20, 25, 30, … Sum of the first 21 terms of 2, −1, −4, … Sum of the first 24 terms of 13, 18, 23, … Sum of the first 10 terms of 12, 18, 24, …
✅ Answer key — Sum of n terms
−7 −920 520 790 2295 −588 1692 390 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 58
Name: Date: Score: / 6
Solve.
A hall has 20 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 28th row? Find the sum of all two-digit numbers that are multiples of 8. Aman saves ₹150 in the first month and ₹40 more every month after that. How much does he save in 9 months? A hall has 29 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 20th row? A hall has 27 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 11th row? Aman saves ₹450 in the first month and ₹90 more every month after that. How much does he save in 6 months?
✅ Answer key — AP word problems
74 616 ₹2790 67 67 ₹4050 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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