Free · Class 10 · 6 worksheets · answer keys · practise online · set 83
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 83
Name: Date: Score: / 10
Find d.
Common difference of 15, 7, −1, −9, … Common difference of −6, 2, 10, 18, … Common difference of −5, −2, 1, 4, … Common difference of 5, 11, 17, 23, … Common difference of 1, 12, 23, 34, … Common difference of 3, 2, 1, 0, … Common difference of −20, −27, −34, −41, … Common difference of −13, −4, 5, 14, … Common difference of −11, −14, −17, −20, … Common difference of 17, 25, 33, 41, …
✅ Answer key — Common difference
d = −8 d = 8 d = 3 d = 6 d = 11 d = −1 d = −7 d = 9 d = −3 d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 83
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 20, 16, 13, 8 an AP? Is −2, 1, 4, 7 an AP? Is −6, −2, 2, 6 an AP? Is 2, 5, 5, 11 an AP? Is 18, 12, 6, 0 an AP? Is 20, 20, 24, 26 an AP? Is 3, 4, 5, 6 an AP? Is 6, 14, 22, 29 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 3 Yes, d = 4 No Yes, d = −6 No Yes, d = 1 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 83
Name: Date: Score: / 8
Find the term.
The 39th term of −13, −12, −11, … The 12th term of −1, −6, −11, … The 30th term of −14, −16, −18, … The 15th term of 17, 21, 25, … The 31st term of 19, 20, 21, … The 36th term of 4, 11, 18, … The 22nd term of 6, 12, 18, … The 22nd term of −17, −13, −9, …
✅ Answer key — nth term
25 −56 −72 73 49 249 132 67 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 83
Name: Date: Score: / 8
Solve.
Which term of −17, −23, −29, … is −95? Which term of 18, 12, 6, … is −192? Which term of −4, −10, −16, … is −292? Which term of −20, −22, −24, … is −118? Which term of −2, −8, −14, … is −122? Which term of 3, 8, 13, … is 238? Which term of 4, 5, 6, … is 13? Which term of −9, −6, −3, … is 36?
✅ Answer key — Which term?
the 14th term the 36th term the 49th term the 50th term the 21st term the 48th term the 10th term the 16th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 83
Name: Date: Score: / 8
Find the sum.
Sum of the first 26 terms of −4, 0, 4, … Sum of the first 25 terms of 5, 0, −5, … Sum of the first 11 terms of −1, −6, −11, … Sum of the first 30 terms of 16, 14, 12, … Sum of the first 9 terms of 15, 17, 19, … Sum of the first 25 terms of 8, 17, 26, … Sum of the first 17 terms of 8, 3, −2, … Sum of the first 15 terms of 14, 19, 24, …
✅ Answer key — Sum of n terms
1196 −1375 −286 −390 207 2900 −544 735 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 83
Name: Date: Score: / 6
Solve.
A hall has 26 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 30th row? Aman saves ₹200 in the first month and ₹50 more every month after that. How much does he save in 9 months? Aman saves ₹300 in the first month and ₹60 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 4. Find the sum of all two-digit numbers that are multiples of 8. Aman saves ₹100 in the first month and ₹80 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
113 ₹3600 ₹2700 1188 616 ₹6480 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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