Free · Class 10 · 6 worksheets · answer keys · practise online · set 45
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 45
Name: Date: Score: / 10
Find d.
Common difference of −10, −21, −32, −43, … Common difference of −8, 0, 8, 16, … Common difference of −20, −8, 4, 16, … Common difference of 15, 18, 21, 24, … Common difference of 3, −5, −13, −21, … Common difference of −3, −10, −17, −24, … Common difference of 4, −3, −10, −17, … Common difference of 16, 24, 32, 40, … Common difference of 1, −6, −13, −20, … Common difference of −19, −14, −9, −4, …
✅ Answer key — Common difference
d = −11 d = 8 d = 12 d = 3 d = −8 d = −7 d = −7 d = 8 d = −7 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 45
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −4, −2, 3, 2 an AP? Is 1, 8, 15, 22 an AP? Is 10, 4, −2, −10 an AP? Is 6, 3, 3, −3 an AP? Is −9, −3, −1, 3 an AP? Is −2, 1, 7, 7 an AP? Is 6, 15, 24, 33 an AP? Is 17, 12, 7, 2 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 7 No No No No Yes, d = 9 Yes, d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 45
Name: Date: Score: / 8
Find the term.
The 10th term of −16, −13, −10, … The 29th term of 7, 16, 25, … The 26th term of 3, −3, −9, … The 13th term of −15, −18, −21, … The 12th term of −20, −24, −28, … The 26th term of 18, 12, 6, … The 36th term of −2, −3, −4, … The 40th term of −6, −12, −18, …
✅ Answer key — nth term
11 259 −147 −51 −64 −132 −37 −240 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 45
Name: Date: Score: / 8
Solve.
Which term of −4, 3, 10, … is 80? Which term of 0, −3, −6, … is −144? Which term of −2, −1, 0, … is 34? Which term of 12, 17, 22, … is 182? Which term of 15, 11, 7, … is −153? Which term of 11, 5, −1, … is −223? Which term of −18, −15, −12, … is 102? Which term of −13, −20, −27, … is −272?
✅ Answer key — Which term?
the 13th term the 49th term the 37th term the 35th term the 43rd term the 40th term the 41st term the 38th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 45
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of 14, 15, 16, … Sum of the first 8 terms of 10, 14, 18, … Sum of the first 17 terms of 5, 1, −3, … Sum of the first 11 terms of 6, 4, 2, … Sum of the first 12 terms of 10, 12, 14, … Sum of the first 10 terms of 9, 15, 21, … Sum of the first 18 terms of 15, 17, 19, … Sum of the first 30 terms of 3, 6, 9, …
✅ Answer key — Sum of n terms
855 192 −459 −44 252 360 576 1395 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 45
Name: Date: Score: / 6
Solve.
A hall has 25 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 12th row? A hall has 27 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 12th row? A hall has 16 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 29th row? A hall has 25 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 16th row? A hall has 23 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 20th row? Aman saves ₹350 in the first month and ₹60 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
47 60 72 55 99 ₹3710 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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