Free · Class 10 · 6 worksheets · answer keys · practise online · set 73
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 73
Name: Date: Score: / 10
Find d.
Common difference of 7, 16, 25, 34, … Common difference of 19, 17, 15, 13, … Common difference of 0, −5, −10, −15, … Common difference of −6, −4, −2, 0, … Common difference of −3, −2, −1, 0, … Common difference of 13, 4, −5, −14, … Common difference of −4, −11, −18, −25, … Common difference of −7, −19, −31, −43, … Common difference of 6, −1, −8, −15, … Common difference of 10, 15, 20, 25, …
✅ Answer key — Common difference
d = 9 d = −2 d = −5 d = 2 d = 1 d = −9 d = −7 d = −12 d = −7 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 73
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −5, −2, 1 an AP? Is 9, 0, −9, −18 an AP? Is 11, 17, 23, 29 an AP? Is 10, 7, 4, 1 an AP? Is −10, −8, −6, −6 an AP? Is 15, 14, 13, 12 an AP? Is 14, 7, 0, −7 an AP? Is −9, −4, 1, 6 an AP?
✅ Answer key — Is it an AP?
Yes, d = 3 Yes, d = −9 Yes, d = 6 Yes, d = −3 No Yes, d = −1 Yes, d = −7 Yes, d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 73
Name: Date: Score: / 8
Find the term.
The 30th term of 6, 3, 0, … The 37th term of 14, 19, 24, … The 35th term of −11, −9, −7, … The 21st term of 12, 17, 22, … The 20th term of 9, 3, −3, … The 11th term of −2, 7, 16, … The 18th term of −14, −18, −22, … The 26th term of 7, 5, 3, …
✅ Answer key — nth term
−81 194 57 112 −105 88 −82 −43 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 73
Name: Date: Score: / 8
Solve.
Which term of −5, −11, −17, … is −95? Which term of −17, −22, −27, … is −247? Which term of −18, −9, 0, … is 252? Which term of 18, 16, 14, … is −22? Which term of 16, 12, 8, … is −20? Which term of −13, −9, −5, … is 147? Which term of −3, −10, −17, … is −108? Which term of −20, −11, −2, … is 169?
✅ Answer key — Which term?
the 16th term the 47th term the 31st term the 21st term the 10th term the 41st term the 16th term the 22nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 73
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of 14, 23, 32, … Sum of the first 26 terms of 14, 16, 18, … Sum of the first 18 terms of 0, 9, 18, … Sum of the first 24 terms of −7, −10, −13, … Sum of the first 27 terms of 13, 15, 17, … Sum of the first 14 terms of 19, 27, 35, … Sum of the first 19 terms of 18, 19, 20, … Sum of the first 10 terms of 19, 14, 9, …
✅ Answer key — Sum of n terms
4335 1014 1377 −996 1053 994 513 −35 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 73
Name: Date: Score: / 6
Solve.
Aman saves ₹500 in the first month and ₹30 more every month after that. How much does he save in 7 months? A hall has 18 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row? A hall has 17 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 21st row? A hall has 17 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 26th row? Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 5.
✅ Answer key — AP word problems
₹4130 96 57 117 1665 945 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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