Free · Class 10 · 6 worksheets · answer keys · practise online · set 70
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 70
Name: Date: Score: / 10
Find d.
Common difference of 10, 17, 24, 31, … Common difference of −17, −23, −29, −35, … Common difference of −13, −1, 11, 23, … Common difference of 7, 2, −3, −8, … Common difference of 8, 12, 16, 20, … Common difference of −5, −1, 3, 7, … Common difference of −12, −24, −36, −48, … Common difference of −11, 0, 11, 22, … Common difference of −6, −13, −20, −27, … Common difference of 10, 20, 30, 40, …
✅ Answer key — Common difference
d = 7 d = −6 d = 12 d = −5 d = 4 d = 4 d = −12 d = 11 d = −7 d = 10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 70
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, −2, −2, 1 an AP? Is −3, −7, −11, −15 an AP? Is 1, 1, 2, 1 an AP? Is −6, 2, 4, 9 an AP? Is 11, 19, 27, 38 an AP? Is 14, 16, 24, 29 an AP? Is 12, 3, −6, −15 an AP? Is 13, 14, 15, 16 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −4 No No No No Yes, d = −9 Yes, d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 70
Name: Date: Score: / 8
Find the term.
The 40th term of 10, 9, 8, … The 28th term of 9, 11, 13, … The 25th term of 2, 11, 20, … The 25th term of 3, 7, 11, … The 12th term of 14, 6, −2, … The 18th term of −20, −12, −4, … The 32nd term of −3, 2, 7, … The 39th term of 13, 7, 1, …
✅ Answer key — nth term
−29 63 218 99 −74 116 152 −215 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 70
Name: Date: Score: / 8
Solve.
Which term of 15, 7, −1, … is −153? Which term of 13, 20, 27, … is 342? Which term of 11, 8, 5, … is −61? Which term of 9, 13, 17, … is 185? Which term of 13, 15, 17, … is 57? Which term of 0, 6, 12, … is 60? Which term of −12, −6, 0, … is 162? Which term of −13, −7, −1, … is 173?
✅ Answer key — Which term?
the 22nd term the 48th term the 25th term the 45th term the 23rd term the 11th term the 30th term the 32nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 70
Name: Date: Score: / 8
Find the sum.
Sum of the first 9 terms of 13, 21, 29, … Sum of the first 14 terms of −10, −2, 6, … Sum of the first 16 terms of 8, 12, 16, … Sum of the first 21 terms of 20, 23, 26, … Sum of the first 16 terms of 16, 12, 8, … Sum of the first 24 terms of −1, 1, 3, … Sum of the first 16 terms of 2, 4, 6, … Sum of the first 25 terms of 16, 21, 26, …
✅ Answer key — Sum of n terms
405 588 608 1050 −224 528 272 1900 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 70
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 4. A hall has 17 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 19th row? Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹500 in the first month and ₹40 more every month after that. How much does he save in 8 months? A hall has 16 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 26th row? A hall has 22 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row?
✅ Answer key — AP word problems
1188 71 945 ₹5120 91 100 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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