Free · Class 10 · 6 worksheets · answer keys · practise online · set 90
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 90
Name: Date: Score: / 10
Find d.
Common difference of −8, −11, −14, −17, … Common difference of −12, −22, −32, −42, … Common difference of 5, −7, −19, −31, … Common difference of 11, −1, −13, −25, … Common difference of 11, 20, 29, 38, … Common difference of −19, −8, 3, 14, … Common difference of 8, 13, 18, 23, … Common difference of 5, −5, −15, −25, … Common difference of −8, −1, 6, 13, … Common difference of −3, −8, −13, −18, …
✅ Answer key — Common difference
d = −3 d = −10 d = −12 d = −12 d = 9 d = 11 d = 5 d = −10 d = 7 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 90
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −9, −6, 0, 0 an AP? Is 9, 15, 15, 18 an AP? Is −1, −8, −15, −22 an AP? Is 1, 3, 5, 7 an AP? Is −3, −6, −9, −12 an AP? Is −9, −2, 5, 12 an AP? Is 4, −5, −14, −23 an AP? Is 13, 16, 19, 24 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = −7 Yes, d = 2 Yes, d = −3 Yes, d = 7 Yes, d = −9 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 90
Name: Date: Score: / 8
Find the term.
The 13th term of 19, 12, 5, … The 27th term of −10, −6, −2, … The 29th term of 1, 7, 13, … The 38th term of −5, −6, −7, … The 35th term of 16, 21, 26, … The 10th term of 16, 14, 12, … The 25th term of 12, 9, 6, … The 12th term of 17, 13, 9, …
✅ Answer key — nth term
−65 94 169 −42 186 −2 −60 −27 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 90
Name: Date: Score: / 8
Solve.
Which term of −19, −27, −35, … is −75? Which term of 19, 16, 13, … is −77? Which term of 11, 13, 15, … is 29? Which term of −20, −14, −8, … is 28? Which term of −10, −2, 6, … is 102? Which term of −9, −3, 3, … is 159? Which term of 3, 7, 11, … is 187? Which term of 1, 10, 19, … is 118?
✅ Answer key — Which term?
the 8th term the 33rd term the 10th term the 9th term the 15th term the 29th term the 47th term the 14th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 90
Name: Date: Score: / 8
Find the sum.
Sum of the first 11 terms of 13, 17, 21, … Sum of the first 24 terms of 6, 2, −2, … Sum of the first 28 terms of −7, −5, −3, … Sum of the first 26 terms of −7, 1, 9, … Sum of the first 29 terms of −4, 4, 12, … Sum of the first 23 terms of −7, −10, −13, … Sum of the first 18 terms of −10, −4, 2, … Sum of the first 15 terms of 1, 8, 15, …
✅ Answer key — Sum of n terms
363 −960 560 2418 3132 −920 738 750 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 90
Name: Date: Score: / 6
Solve.
Aman saves ₹150 in the first month and ₹20 more every month after that. How much does he save in 8 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 21st row? Find the sum of all two-digit numbers that are multiples of 5. Find the sum of all two-digit numbers that are multiples of 3. A hall has 19 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 19th row? Aman saves ₹250 in the first month and ₹20 more every month after that. How much does he save in 6 months?
✅ Answer key — AP word problems
₹1760 64 945 1665 91 ₹1800 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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