Free · Class 10 · 6 worksheets · answer keys · practise online · set 89
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 89
Name: Date: Score: / 10
Find d.
Common difference of 8, 1, −6, −13, … Common difference of −18, −28, −38, −48, … Common difference of −14, −4, 6, 16, … Common difference of −12, −4, 4, 12, … Common difference of 19, 28, 37, 46, … Common difference of −5, 0, 5, 10, … Common difference of 16, 22, 28, 34, … Common difference of −5, −15, −25, −35, … Common difference of −19, −20, −21, −22, … Common difference of 2, −9, −20, −31, …
✅ Answer key — Common difference
d = −7 d = −10 d = 10 d = 8 d = 9 d = 5 d = 6 d = −10 d = −1 d = −11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 89
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 8, 12, 16, 20 an AP? Is −1, −5, −5, −7 an AP? Is 0, −2, −4, −6 an AP? Is −8, −10, −12, −14 an AP? Is 13, 21, 29, 37 an AP? Is −3, −4, −5, −6 an AP? Is −1, 4, 9, 16 an AP? Is 3, 9, 15, 21 an AP?
✅ Answer key — Is it an AP?
Yes, d = 4 No Yes, d = −2 Yes, d = −2 Yes, d = 8 Yes, d = −1 No Yes, d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 89
Name: Date: Score: / 8
Find the term.
The 20th term of 10, 15, 20, … The 33rd term of −8, −9, −10, … The 31st term of 10, 7, 4, … The 13th term of 3, −4, −11, … The 20th term of 15, 23, 31, … The 32nd term of 14, 20, 26, … The 38th term of −10, −5, 0, … The 32nd term of 13, 9, 5, …
✅ Answer key — nth term
105 −40 −80 −81 167 200 175 −111 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 89
Name: Date: Score: / 8
Solve.
Which term of −19, −28, −37, … is −172? Which term of 19, 28, 37, … is 415? Which term of 10, 3, −4, … is −165? Which term of 10, 11, 12, … is 24? Which term of 19, 21, 23, … is 51? Which term of −9, −3, 3, … is 105? Which term of 20, 17, 14, … is −82? Which term of 16, 9, 2, … is −75?
✅ Answer key — Which term?
the 18th term the 45th term the 26th term the 15th term the 17th term the 20th term the 35th term the 14th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 89
Name: Date: Score: / 8
Find the sum.
Sum of the first 18 terms of −5, 3, 11, … Sum of the first 9 terms of 16, 15, 14, … Sum of the first 20 terms of 3, 2, 1, … Sum of the first 17 terms of 16, 24, 32, … Sum of the first 10 terms of 1, 7, 13, … Sum of the first 26 terms of 7, 8, 9, … Sum of the first 18 terms of −8, −4, 0, … Sum of the first 24 terms of −1, −4, −7, …
✅ Answer key — Sum of n terms
1134 108 −130 1360 280 507 468 −852 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 89
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 9. A hall has 25 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹250 in the first month and ₹100 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 3. Aman saves ₹450 in the first month and ₹100 more every month after that. How much does he save in 8 months? Aman saves ₹350 in the first month and ₹50 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
585 61 ₹3850 1665 ₹6400 ₹3500 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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