Free · Class 10 · 6 worksheets · answer keys · practise online · set 3
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 3
Name: Date: Score: / 10
Find d.
Common difference of 13, 2, −9, −20, … Common difference of −6, 4, 14, 24, … Common difference of 9, 12, 15, 18, … Common difference of 17, 22, 27, 32, … Common difference of 9, 4, −1, −6, … Common difference of −12, −4, 4, 12, … Common difference of 9, 6, 3, 0, … Common difference of −7, −2, 3, 8, … Common difference of −3, −14, −25, −36, … Common difference of −19, −9, 1, 11, …
✅ Answer key — Common difference
d = −11 d = 10 d = 3 d = 5 d = −5 d = 8 d = −3 d = 5 d = −11 d = 10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 3
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −10, −19, −28, −37 an AP? Is 1, 4, 7, 10 an AP? Is 20, 15, 10, 2 an AP? Is 10, 16, 22, 26 an AP? Is 14, 15, 16, 18 an AP? Is 7, 15, 23, 32 an AP? Is −8, −8, −14, −17 an AP? Is 10, 14, 18, 22 an AP?
✅ Answer key — Is it an AP?
Yes, d = −9 Yes, d = 3 No No No No No Yes, d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 3
Name: Date: Score: / 8
Find the term.
The 35th term of 14, 13, 12, … The 18th term of −17, −13, −9, … The 14th term of 5, 2, −1, … The 17th term of 18, 14, 10, … The 39th term of 8, 0, −8, … The 13th term of −13, −14, −15, … The 27th term of −20, −13, −6, … The 31st term of 17, 15, 13, …
✅ Answer key — nth term
−20 51 −34 −46 −296 −25 162 −43 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 3
Name: Date: Score: / 8
Solve.
Which term of 18, 9, 0, … is −288? Which term of 12, 8, 4, … is −96? Which term of −9, 0, 9, … is 333? Which term of 16, 24, 32, … is 384? Which term of −13, −9, −5, … is 87? Which term of −19, −11, −3, … is 365? Which term of −6, −3, 0, … is 21? Which term of 11, 12, 13, … is 22?
✅ Answer key — Which term?
the 35th term the 28th term the 39th term the 47th term the 26th term the 49th term the 10th term the 12th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 3
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of −10, −6, −2, … Sum of the first 21 terms of −9, −2, 5, … Sum of the first 11 terms of 14, 19, 24, … Sum of the first 12 terms of 13, 22, 31, … Sum of the first 28 terms of 11, 9, 7, … Sum of the first 25 terms of 20, 15, 10, … Sum of the first 8 terms of 11, 15, 19, … Sum of the first 29 terms of −10, −12, −14, …
✅ Answer key — Sum of n terms
224 1281 429 750 −448 −1000 200 −1102 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 3
Name: Date: Score: / 6
Solve.
A hall has 18 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 12th row? A hall has 14 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 11th row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 30 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 29th row? A hall has 12 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 14th row? A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 19th row?
✅ Answer key — AP word problems
40 34 945 142 38 59 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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