Free · Class 10 · 6 worksheets · answer keys · practise online · set 50
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 50
Name: Date: Score: / 10
Find d.
Common difference of 9, 1, −7, −15, … Common difference of 20, 16, 12, 8, … Common difference of −2, −9, −16, −23, … Common difference of 10, −1, −12, −23, … Common difference of −3, −13, −23, −33, … Common difference of −3, 0, 3, 6, … Common difference of 14, 9, 4, −1, … Common difference of 20, 14, 8, 2, … Common difference of 17, 7, −3, −13, … Common difference of −12, −4, 4, 12, …
✅ Answer key — Common difference
d = −8 d = −4 d = −7 d = −11 d = −10 d = 3 d = −5 d = −6 d = −10 d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 50
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −9, −12, −17, −18 an AP? Is 20, 22, 26, 26 an AP? Is −1, −1, −1, −1 an AP? Is 9, 13, 19, 24 an AP? Is −2, −3, 0, 1 an AP? Is 5, 15, 19, 26 an AP? Is 10, 2, −6, −14 an AP? Is −4, −3, −2, −1 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 0 No No No Yes, d = −8 Yes, d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 50
Name: Date: Score: / 8
Find the term.
The 20th term of −8, −1, 6, … The 16th term of 19, 18, 17, … The 12th term of −19, −27, −35, … The 24th term of −3, −6, −9, … The 11th term of −3, −4, −5, … The 39th term of −2, 0, 2, … The 28th term of −11, −5, 1, … The 22nd term of −9, −4, 1, …
✅ Answer key — nth term
125 4 −107 −72 −13 74 151 96 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 50
Name: Date: Score: / 8
Solve.
Which term of 6, 10, 14, … is 158? Which term of 6, −3, −12, … is −57? Which term of 3, −5, −13, … is −165? Which term of 0, −5, −10, … is −90? Which term of −4, 1, 6, … is 181? Which term of −15, −21, −27, … is −189? Which term of 8, 6, 4, … is −64? Which term of 10, 17, 24, … is 136?
✅ Answer key — Which term?
the 39th term the 8th term the 22nd term the 19th term the 38th term the 30th term the 37th term the 19th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 50
Name: Date: Score: / 8
Find the sum.
Sum of the first 15 terms of 18, 22, 26, … Sum of the first 17 terms of −10, −6, −2, … Sum of the first 10 terms of 3, 5, 7, … Sum of the first 19 terms of −1, −2, −3, … Sum of the first 22 terms of −3, 1, 5, … Sum of the first 23 terms of 5, 0, −5, … Sum of the first 18 terms of −6, 1, 8, … Sum of the first 27 terms of 14, 17, 20, …
✅ Answer key — Sum of n terms
690 374 120 −190 858 −1150 963 1431 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 50
Name: Date: Score: / 6
Solve.
Aman saves ₹400 in the first month and ₹100 more every month after that. How much does he save in 9 months? Find the sum of all two-digit numbers that are multiples of 9. A hall has 25 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 23rd row? Find the sum of all two-digit numbers that are multiples of 7. Find the sum of all two-digit numbers that are multiples of 3. A hall has 23 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 16th row?
✅ Answer key — AP word problems
₹7200 585 113 728 1665 68 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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