Free · Class 10 · 6 worksheets · answer keys · practise online · set 41
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 41
Name: Date: Score: / 10
Find d.
Common difference of 18, 16, 14, 12, … Common difference of 11, 16, 21, 26, … Common difference of −16, −25, −34, −43, … Common difference of 8, −1, −10, −19, … Common difference of 4, 7, 10, 13, … Common difference of 18, 21, 24, 27, … Common difference of −10, −22, −34, −46, … Common difference of −13, −19, −25, −31, … Common difference of 19, 14, 9, 4, … Common difference of 1, −11, −23, −35, …
✅ Answer key — Common difference
d = −2 d = 5 d = −9 d = −9 d = 3 d = 3 d = −12 d = −6 d = −5 d = −12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 41
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 11, 7, 2 an AP? Is 13, 13, 13, 13 an AP? Is 15, 3, −3, −12 an AP? Is −10, −12, −14, −17 an AP? Is 4, 7, 12, 16 an AP? Is 9, 3, 3, 0 an AP? Is 6, 7, 10, 9 an AP? Is 17, 23, 23, 26 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 0 No No No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 41
Name: Date: Score: / 8
Find the term.
The 37th term of −14, −10, −6, … The 39th term of 9, 13, 17, … The 28th term of −2, 1, 4, … The 19th term of −7, −6, −5, … The 31st term of 15, 19, 23, … The 19th term of 1, 8, 15, … The 38th term of −9, −1, 7, … The 17th term of 10, 18, 26, …
✅ Answer key — nth term
130 161 79 11 135 127 287 138 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 41
Name: Date: Score: / 8
Solve.
Which term of −6, −8, −10, … is −56? Which term of 20, 15, 10, … is −105? Which term of −15, −11, −7, … is 61? Which term of −11, −4, 3, … is 150? Which term of 17, 8, −1, … is −370? Which term of 0, 2, 4, … is 20? Which term of 0, −4, −8, … is −116? Which term of 15, 24, 33, … is 276?
✅ Answer key — Which term?
the 26th term the 26th term the 20th term the 24th term the 44th term the 11th term the 30th term the 30th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 41
Name: Date: Score: / 8
Find the sum.
Sum of the first 21 terms of −6, 2, 10, … Sum of the first 19 terms of −4, −8, −12, … Sum of the first 10 terms of 7, 3, −1, … Sum of the first 14 terms of 15, 20, 25, … Sum of the first 10 terms of −6, 1, 8, … Sum of the first 17 terms of 4, 5, 6, … Sum of the first 20 terms of 20, 19, 18, … Sum of the first 29 terms of 19, 17, 15, …
✅ Answer key — Sum of n terms
1554 −760 −110 665 255 204 210 −261 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 41
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 8. A hall has 26 seats in the first row and 3 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 9. A hall has 13 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 26th row? Find the sum of all two-digit numbers that are multiples of 4. Aman saves ₹500 in the first month and ₹80 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
616 56 585 113 1188 ₹11280 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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