Free · Class 10 · 6 worksheets · answer keys · practise online · set 29
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 29
Name: Date: Score: / 10
Find d.
Common difference of 12, 21, 30, 39, … Common difference of 2, 11, 20, 29, … Common difference of 8, 16, 24, 32, … Common difference of 20, 29, 38, 47, … Common difference of −14, −25, −36, −47, … Common difference of 10, 4, −2, −8, … Common difference of 2, −2, −6, −10, … Common difference of 10, −2, −14, −26, … Common difference of −12, −9, −6, −3, … Common difference of 12, 13, 14, 15, …
✅ Answer key — Common difference
d = 9 d = 9 d = 8 d = 9 d = −11 d = −6 d = −4 d = −12 d = 3 d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 29
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −7, −3, −2, 5 an AP? Is −7, −10, −13, −16 an AP? Is 14, 9, 4, −1 an AP? Is 8, 1, −6, −13 an AP? Is 3, 0, 1, 0 an AP? Is −1, −10, −19, −27 an AP? Is −5, −10, −15, −20 an AP? Is 19, 10, 1, −8 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −3 Yes, d = −5 Yes, d = −7 No No Yes, d = −5 Yes, d = −9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 29
Name: Date: Score: / 8
Find the term.
The 18th term of 9, 4, −1, … The 29th term of 18, 22, 26, … The 23rd term of 18, 23, 28, … The 36th term of 3, −4, −11, … The 29th term of 15, 24, 33, … The 19th term of −2, −8, −14, … The 21st term of 19, 24, 29, … The 32nd term of −2, −3, −4, …
✅ Answer key — nth term
−76 130 128 −242 267 −110 119 −33 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 29
Name: Date: Score: / 8
Solve.
Which term of 8, 7, 6, … is −5? Which term of −2, −5, −8, … is −137? Which term of 6, −1, −8, … is −148? Which term of −16, −7, 2, … is 353? Which term of −15, −23, −31, … is −111? Which term of 10, 6, 2, … is −146? Which term of 10, 13, 16, … is 115? Which term of −3, −7, −11, … is −43?
✅ Answer key — Which term?
the 14th term the 46th term the 23rd term the 42nd term the 13th term the 40th term the 36th term the 11th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 29
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of −10, −2, 6, … Sum of the first 9 terms of 18, 25, 32, … Sum of the first 21 terms of 9, 13, 17, … Sum of the first 9 terms of −4, −5, −6, … Sum of the first 20 terms of −6, −4, −2, … Sum of the first 24 terms of 19, 28, 37, … Sum of the first 16 terms of −6, 0, 6, … Sum of the first 17 terms of 3, 5, 7, …
✅ Answer key — Sum of n terms
260 414 1029 −72 260 2940 624 323 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 29
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 9. A hall has 22 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 24th row? Aman saves ₹100 in the first month and ₹60 more every month after that. How much does he save in 12 months? A hall has 10 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 24th row? 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 11th row? Find the sum of all two-digit numbers that are multiples of 6.
✅ Answer key — AP word problems
585 114 ₹5160 102 46 810 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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