Free · Class 10 · 6 worksheets · answer keys · practise online · set 9
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 9
Name: Date: Score: / 10
Find d.
Common difference of 20, 19, 18, 17, … Common difference of 11, 19, 27, 35, … Common difference of 8, 6, 4, 2, … Common difference of −12, −24, −36, −48, … Common difference of −17, −5, 7, 19, … Common difference of 17, 14, 11, 8, … Common difference of 20, 16, 12, 8, … Common difference of −18, −26, −34, −42, … Common difference of −15, −4, 7, 18, … Common difference of 9, 2, −5, −12, …
✅ Answer key — Common difference
d = −1 d = 8 d = −2 d = −12 d = 12 d = −3 d = −4 d = −8 d = 11 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 9
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 7, 11, 13, 19 an AP? Is 9, 7, 5, 2 an AP? Is 6, 0, −2, −6 an AP? Is 7, 0, −7, −15 an AP? Is −4, −5, −6, −7 an AP? Is 9, 13, 17, 21 an AP? Is −8, −6, −4, −2 an AP? Is −2, −11, −22, −29 an AP?
✅ Answer key — Is it an AP?
No No No No Yes, d = −1 Yes, d = 4 Yes, d = 2 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 9
Name: Date: Score: / 8
Find the term.
The 35th term of 13, 9, 5, … The 26th term of 6, 15, 24, … The 35th term of 1, 0, −1, … The 21st term of −7, −1, 5, … The 38th term of 8, 3, −2, … The 25th term of 0, −9, −18, … The 37th term of −6, −1, 4, … The 23rd term of 16, 18, 20, …
✅ Answer key — nth term
−123 231 −33 113 −177 −216 174 60 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 9
Name: Date: Score: / 8
Solve.
Which term of 8, 14, 20, … is 116? Which term of 11, 12, 13, … is 54? Which term of 18, 21, 24, … is 111? Which term of −14, −18, −22, … is −42? Which term of 3, 1, −1, … is −43? Which term of −5, −11, −17, … is −71? Which term of −13, −18, −23, … is −93? Which term of −18, −12, −6, … is 138?
✅ Answer key — Which term?
the 19th term the 44th term the 32nd term the 8th term the 24th term the 12th term the 17th term the 27th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 9
Name: Date: Score: / 8
Find the sum.
Sum of the first 28 terms of −5, 3, 11, … Sum of the first 15 terms of −9, −8, −7, … Sum of the first 27 terms of 11, 7, 3, … Sum of the first 12 terms of −7, −5, −3, … Sum of the first 8 terms of 15, 20, 25, … Sum of the first 26 terms of 0, 8, 16, … Sum of the first 28 terms of 1, 3, 5, … Sum of the first 13 terms of −7, −1, 5, …
✅ Answer key — Sum of n terms
2884 −30 −1107 48 260 2600 784 377 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 9
Name: Date: Score: / 6
Solve.
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 8. Aman saves ₹250 in the first month and ₹20 more every month after that. How much does he save in 10 months? A hall has 10 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 11th row? Find the sum of all two-digit numbers that are multiples of 4. A hall has 15 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 11th row?
✅ Answer key — AP word problems
728 616 ₹3400 50 1188 55 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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