Free · Class 10 · 6 worksheets · answer keys · practise online · set 30
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 30
Name: Date: Score: / 10
Find d.
Common difference of 4, 14, 24, 34, … Common difference of −14, −22, −30, −38, … Common difference of 10, 9, 8, 7, … Common difference of −13, −15, −17, −19, … Common difference of −3, −1, 1, 3, … Common difference of −2, −14, −26, −38, … Common difference of 10, 2, −6, −14, … Common difference of 15, 17, 19, 21, … Common difference of 4, 11, 18, 25, … Common difference of −2, −13, −24, −35, …
✅ Answer key — Common difference
d = 10 d = −8 d = −1 d = −2 d = 2 d = −12 d = −8 d = 2 d = 7 d = −11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 30
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, −1, 0, 1 an AP? Is −9, −3, 3, 10 an AP? Is −1, −9, −17, −25 an AP? Is 16, 17, 18, 21 an AP? Is −6, −11, −16, −21 an AP? Is −4, −13, −25, −31 an AP? Is 4, 2, 2, 1 an AP? Is −2, −3, −7, −5 an AP?
✅ Answer key — Is it an AP?
Yes, d = 1 No Yes, d = −8 No Yes, d = −5 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 30
Name: Date: Score: / 8
Find the term.
The 17th term of 20, 14, 8, … The 17th term of 11, 8, 5, … The 34th term of 15, 22, 29, … The 14th term of 12, 11, 10, … The 20th term of 10, 5, 0, … The 17th term of −9, −18, −27, … The 22nd term of 8, 9, 10, … The 18th term of −7, −16, −25, …
✅ Answer key — nth term
−76 −37 246 −1 −85 −153 29 −160 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 30
Name: Date: Score: / 8
Solve.
Which term of −11, −19, −27, … is −283? Which term of 17, 19, 21, … is 43? Which term of −14, −6, 2, … is 338? Which term of 14, 16, 18, … is 34? Which term of 8, 10, 12, … is 102? Which term of 1, 4, 7, … is 52? Which term of 3, 5, 7, … is 59? Which term of 16, 13, 10, … is −116?
✅ Answer key — Which term?
the 35th term the 14th term the 45th term the 11th term the 48th term the 18th term the 29th term the 45th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 30
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 14, 18, 22, … Sum of the first 18 terms of 18, 14, 10, … Sum of the first 28 terms of 15, 24, 33, … Sum of the first 20 terms of 19, 24, 29, … Sum of the first 28 terms of −3, −4, −5, … Sum of the first 10 terms of −5, −10, −15, … Sum of the first 11 terms of 12, 10, 8, … Sum of the first 27 terms of −5, −7, −9, …
✅ Answer key — Sum of n terms
320 −288 3822 1330 −462 −275 22 −837 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 30
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹200 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. A hall has 13 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 25th row? A hall has 29 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 22nd row? Find the sum of all two-digit numbers that are multiples of 9.
✅ Answer key — AP word problems
945 ₹2100 1188 85 113 585 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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