Free · Class 10 · 6 worksheets · answer keys · practise online · set 10
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 10
Name: Date: Score: / 10
Find d.
Common difference of 8, 20, 32, 44, … Common difference of −4, −16, −28, −40, … Common difference of 17, 8, −1, −10, … Common difference of −17, −21, −25, −29, … Common difference of 4, −4, −12, −20, … Common difference of −10, −17, −24, −31, … Common difference of 13, 6, −1, −8, … Common difference of −1, 8, 17, 26, … Common difference of 9, −2, −13, −24, … Common difference of −18, −14, −10, −6, …
✅ Answer key — Common difference
d = 12 d = −12 d = −9 d = −4 d = −8 d = −7 d = −7 d = 9 d = −11 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 10
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 18, 22, 26, 30 an AP? Is −3, −11, −19, −27 an AP? Is 0, −2, −2, −3 an AP? Is 4, −5, −13, −23 an AP? Is 20, 23, 26, 29 an AP? Is 18, 14, 13, 6 an AP? Is −4, 2, 8, 14 an AP? Is 10, 10, 7, 10 an AP?
✅ Answer key — Is it an AP?
Yes, d = 4 Yes, d = −8 No No Yes, d = 3 No Yes, d = 6 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 10
Name: Date: Score: / 8
Find the term.
The 38th term of −18, −26, −34, … The 25th term of 4, −5, −14, … The 21st term of 14, 8, 2, … The 26th term of −15, −7, 1, … The 15th term of 5, −3, −11, … The 35th term of 8, 9, 10, … The 13th term of 16, 17, 18, … The 38th term of −16, −12, −8, …
✅ Answer key — nth term
−314 −212 −106 185 −107 42 28 132 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 10
Name: Date: Score: / 8
Solve.
Which term of 0, −4, −8, … is −148? Which term of −15, −6, 3, … is 264? Which term of −1, −3, −5, … is −81? Which term of −14, −17, −20, … is −41? Which term of 19, 16, 13, … is −56? Which term of −13, −19, −25, … is −265? Which term of 6, 1, −4, … is −204? Which term of −15, −19, −23, … is −107?
✅ Answer key — Which term?
the 38th term the 32nd term the 41st term the 10th term the 26th term the 43rd term the 43rd term the 24th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 10
Name: Date: Score: / 8
Find the sum.
Sum of the first 19 terms of 10, 13, 16, … Sum of the first 29 terms of 3, −2, −7, … Sum of the first 25 terms of 14, 20, 26, … Sum of the first 8 terms of 19, 27, 35, … Sum of the first 19 terms of 20, 25, 30, … Sum of the first 15 terms of −7, −8, −9, … Sum of the first 12 terms of 7, 16, 25, … Sum of the first 29 terms of 16, 18, 20, …
✅ Answer key — Sum of n terms
703 −1943 2150 376 1235 −210 678 1276 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 10
Name: Date: Score: / 6
Solve.
A hall has 22 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 28th row? Find the sum of all two-digit numbers that are multiples of 4. Aman saves ₹350 in the first month and ₹30 more every month after that. How much does he save in 7 months? Find the sum of all two-digit numbers that are multiples of 5. A hall has 29 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 25th row? Aman saves ₹250 in the first month and ₹100 more every month after that. How much does he save in 10 months?
✅ Answer key — AP word problems
76 1188 ₹3080 945 101 ₹7000 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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