Free · Class 10 · 6 worksheets · answer keys · practise online · set 96
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 96
Name: Date: Score: / 10
Find d.
Common difference of 10, 8, 6, 4, … Common difference of −2, −7, −12, −17, … Common difference of 20, 17, 14, 11, … Common difference of 6, 3, 0, −3, … Common difference of 16, 12, 8, 4, … Common difference of −2, 7, 16, 25, … Common difference of 2, −4, −10, −16, … Common difference of 11, 17, 23, 29, … Common difference of −7, −9, −11, −13, … Common difference of −2, 2, 6, 10, …
✅ Answer key — Common difference
d = −2 d = −5 d = −3 d = −3 d = −4 d = 9 d = −6 d = 6 d = −2 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 96
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 4, 9, 14, 19 an AP? Is −7, −6, −5, −4 an AP? Is −5, −12, −21, −26 an AP? Is 2, 6, 10, 16 an AP? Is −1, 6, 12, 20 an AP? Is −10, −19, −28, −37 an AP? Is −2, 4, 10, 16 an AP? Is −10, −2, 6, 14 an AP?
✅ Answer key — Is it an AP?
Yes, d = 5 Yes, d = 1 No No No Yes, d = −9 Yes, d = 6 Yes, d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 96
Name: Date: Score: / 8
Find the term.
The 35th term of −4, 4, 12, … The 39th term of −14, −13, −12, … The 11th term of 16, 8, 0, … The 10th term of −9, −12, −15, … The 35th term of 9, 2, −5, … The 15th term of −6, −12, −18, … The 39th term of −16, −22, −28, … The 26th term of −14, −7, 0, …
✅ Answer key — nth term
268 24 −64 −36 −229 −90 −244 161 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 96
Name: Date: Score: / 8
Solve.
Which term of 11, 5, −1, … is −139? Which term of 17, 11, 5, … is −211? Which term of 18, 22, 26, … is 50? Which term of −8, −12, −16, … is −96? Which term of 20, 26, 32, … is 164? Which term of 19, 26, 33, … is 285? Which term of −20, −16, −12, … is 136? Which term of 15, 10, 5, … is −90?
✅ Answer key — Which term?
the 26th term the 39th term the 9th term the 23rd term the 25th term the 39th term the 40th term the 22nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 96
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of −1, 0, 1, … Sum of the first 18 terms of −9, −11, −13, … Sum of the first 20 terms of −8, −12, −16, … Sum of the first 21 terms of −3, −1, 1, … Sum of the first 26 terms of −4, −3, −2, … Sum of the first 25 terms of 6, 8, 10, … Sum of the first 27 terms of 16, 19, 22, … Sum of the first 22 terms of −2, 6, 14, …
✅ Answer key — Sum of n terms
405 −468 −920 357 221 750 1485 1804 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 96
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 12 months? Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹100 in the first month and ₹50 more every month after that. How much does he save in 9 months? Aman saves ₹400 in the first month and ₹60 more every month after that. How much does he save in 11 months? A hall has 24 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 30th row? Aman saves ₹300 in the first month and ₹40 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
₹7980 1665 ₹2700 ₹7700 82 ₹6240 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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