Free · Class 10 · 6 worksheets · answer keys · practise online · set 13
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 13
Name: Date: Score: / 10
Find d.
Common difference of −18, −12, −6, 0, … Common difference of −3, 0, 3, 6, … Common difference of 14, 10, 6, 2, … Common difference of 9, 14, 19, 24, … Common difference of 6, 12, 18, 24, … Common difference of −1, 1, 3, 5, … Common difference of −13, −19, −25, −31, … Common difference of −3, −5, −7, −9, … Common difference of −20, −31, −42, −53, … Common difference of −5, −6, −7, −8, …
✅ Answer key — Common difference
d = 6 d = 3 d = −4 d = 5 d = 6 d = 2 d = −6 d = −2 d = −11 d = −1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 13
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −7, −4, −5 an AP? Is −1, −3, −6, −7 an AP? Is 18, 15, 12, 9 an AP? Is 18, 25, 32, 39 an AP? Is 3, 10, 17, 24 an AP? Is 19, 10, 1, −7 an AP? Is 15, 7, −1, −9 an AP? Is −5, 2, 9, 15 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = −3 Yes, d = 7 Yes, d = 7 No Yes, d = −8 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 13
Name: Date: Score: / 8
Find the term.
The 37th term of −12, −4, 4, … The 20th term of 19, 11, 3, … The 30th term of 10, 3, −4, … The 30th term of −19, −21, −23, … The 23rd term of −9, 0, 9, … The 17th term of 16, 13, 10, … The 10th term of 8, 13, 18, … The 21st term of −19, −11, −3, …
✅ Answer key — nth term
276 −133 −193 −77 189 −32 53 141 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 13
Name: Date: Score: / 8
Solve.
Which term of 19, 13, 7, … is −89? Which term of −14, −11, −8, … is 94? Which term of −18, −24, −30, … is −276? Which term of −16, −11, −6, … is 104? Which term of 6, 14, 22, … is 110? Which term of 4, 2, 0, … is −12? Which term of −18, −10, −2, … is 166? Which term of −8, −2, 4, … is 112?
✅ Answer key — Which term?
the 19th term the 37th term the 44th term the 25th term the 14th term the 9th term the 24th term the 21st term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 13
Name: Date: Score: / 8
Find the sum.
Sum of the first 23 terms of 2, 10, 18, … Sum of the first 15 terms of 6, 4, 2, … Sum of the first 29 terms of 15, 12, 9, … Sum of the first 12 terms of 2, 3, 4, … Sum of the first 8 terms of −9, −12, −15, … Sum of the first 26 terms of 20, 17, 14, … Sum of the first 24 terms of 16, 13, 10, … Sum of the first 13 terms of −2, 1, 4, …
✅ Answer key — Sum of n terms
2070 −120 −783 90 −156 −455 −444 208 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 13
Name: Date: Score: / 6
Solve.
A hall has 15 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 8. 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 17th row? Aman saves ₹350 in the first month and ₹70 more every month after that. How much does he save in 8 months? A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row? Find the sum of all two-digit numbers that are multiples of 6.
✅ Answer key — AP word problems
69 616 50 ₹4760 90 810 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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