Free · Class 10 · 6 worksheets · answer keys · practise online · set 24
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 24
Name: Date: Score: / 10
Find d.
Common difference of −9, −17, −25, −33, … Common difference of −13, −3, 7, 17, … Common difference of −11, −9, −7, −5, … Common difference of −3, −2, −1, 0, … Common difference of 5, 11, 17, 23, … Common difference of 7, 17, 27, 37, … Common difference of −11, −23, −35, −47, … Common difference of −5, −12, −19, −26, … Common difference of −18, −30, −42, −54, … Common difference of 11, 12, 13, 14, …
✅ Answer key — Common difference
d = −8 d = 10 d = 2 d = 1 d = 6 d = 10 d = −12 d = −7 d = −12 d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 24
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 6, 10, 14, 21 an AP? Is 15, 16, 17, 15 an AP? Is 16, 14, 12, 10 an AP? Is 10, 19, 28, 37 an AP? Is 19, 10, 1, −8 an AP? Is 14, 6, −2, −11 an AP? Is 15, 6, −3, −12 an AP? Is −3, −4, −5, −6 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = −2 Yes, d = 9 Yes, d = −9 No Yes, d = −9 Yes, d = −1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 24
Name: Date: Score: / 8
Find the term.
The 21st term of −11, −6, −1, … The 12th term of −6, −14, −22, … The 12th term of 4, 13, 22, … The 37th term of 5, 2, −1, … The 14th term of 16, 13, 10, … The 35th term of 0, 7, 14, … The 33rd term of −10, −2, 6, … The 10th term of −11, −15, −19, …
✅ Answer key — nth term
89 −94 103 −103 −23 238 246 −47 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 24
Name: Date: Score: / 8
Solve.
Which term of −3, −2, −1, … is 24? Which term of −5, −13, −21, … is −341? Which term of −14, −6, 2, … is 122? Which term of 3, 10, 17, … is 283? Which term of −20, −11, −2, … is 349? Which term of 6, 0, −6, … is −180? Which term of 10, 7, 4, … is −107? Which term of 15, 16, 17, … is 59?
✅ Answer key — Which term?
the 28th term the 43rd term the 18th term the 41st term the 42nd term the 32nd term the 40th term the 45th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 24
Name: Date: Score: / 8
Find the sum.
Sum of the first 12 terms of 14, 13, 12, … Sum of the first 26 terms of −2, 0, 2, … Sum of the first 14 terms of −6, −7, −8, … Sum of the first 18 terms of 14, 22, 30, … Sum of the first 22 terms of 10, 9, 8, … Sum of the first 28 terms of 2, 0, −2, … Sum of the first 21 terms of 11, 13, 15, … Sum of the first 12 terms of −10, −8, −6, …
✅ Answer key — Sum of n terms
102 598 −175 1476 −11 −700 651 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 24
Name: Date: Score: / 6
Solve.
A hall has 21 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 29th row? Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹200 in the first month and ₹70 more every month after that. How much does he save in 11 months? 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 30th row? Find the sum of all two-digit numbers that are multiples of 4. Aman saves ₹500 in the first month and ₹20 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
105 1665 ₹6050 72 1188 ₹3920 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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