Free · Class 10 · 6 worksheets · answer keys · practise online · set 44
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 44
Name: Date: Score: / 10
Find d.
Common difference of 16, 4, −8, −20, … Common difference of −8, 1, 10, 19, … Common difference of −10, −11, −12, −13, … Common difference of −17, −26, −35, −44, … Common difference of −18, −26, −34, −42, … Common difference of −6, −9, −12, −15, … Common difference of −13, −9, −5, −1, … Common difference of 4, 2, 0, −2, … Common difference of 9, −1, −11, −21, … Common difference of −16, −4, 8, 20, …
✅ Answer key — Common difference
d = −12 d = 9 d = −1 d = −9 d = −8 d = −3 d = 4 d = −2 d = −10 d = 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 44
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −4, −5, −4, −4 an AP? Is −6, −14, −20, −27 an AP? Is −6, 2, 10, 18 an AP? Is 14, 17, 20, 26 an AP? Is 9, 6, 3, 0 an AP? Is 16, 17, 18, 19 an AP? Is 7, 4, −3, −8 an AP? Is 16, 23, 30, 37 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 8 No Yes, d = −3 Yes, d = 1 No Yes, d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 44
Name: Date: Score: / 8
Find the term.
The 39th term of −20, −28, −36, … The 13th term of −12, −20, −28, … The 23rd term of 3, 2, 1, … The 36th term of −14, −12, −10, … The 26th term of −11, −16, −21, … The 28th term of −19, −25, −31, … The 25th term of −2, −4, −6, … The 25th term of −2, 6, 14, …
✅ Answer key — nth term
−324 −108 −19 56 −136 −181 −50 190 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 44
Name: Date: Score: / 8
Solve.
Which term of 8, 2, −4, … is −208? Which term of 5, 1, −3, … is −67? Which term of −19, −18, −17, … is −1? Which term of −6, −15, −24, … is −69? Which term of 18, 12, 6, … is −66? Which term of 2, −2, −6, … is −190? Which term of −17, −21, −25, … is −157? Which term of 15, 24, 33, … is 339?
✅ Answer key — Which term?
the 37th term the 19th term the 19th term the 8th term the 15th term the 49th term the 36th term the 37th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 44
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 3, −1, −5, … Sum of the first 21 terms of −4, −7, −10, … Sum of the first 18 terms of 11, 6, 1, … Sum of the first 24 terms of −1, 0, 1, … Sum of the first 8 terms of 14, 13, 12, … Sum of the first 9 terms of 2, −1, −4, … Sum of the first 18 terms of 15, 12, 9, … Sum of the first 25 terms of −9, 0, 9, …
✅ Answer key — Sum of n terms
−273 −714 −567 252 84 −90 −189 2475 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 44
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 7. Aman saves ₹500 in the first month and ₹50 more every month after that. How much does he save in 10 months? A hall has 27 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 30th row? A hall has 19 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 27th row? A hall has 23 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹300 in the first month and ₹90 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
728 ₹7250 85 71 71 ₹9540 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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