Free · Class 10 · 6 worksheets · answer keys · practise online · set 6
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 6
Name: Date: Score: / 10
Find d.
Common difference of −6, 1, 8, 15, … Common difference of −15, −10, −5, 0, … Common difference of 12, 20, 28, 36, … Common difference of 3, 4, 5, 6, … Common difference of −13, −9, −5, −1, … Common difference of 19, 7, −5, −17, … Common difference of −4, 5, 14, 23, … Common difference of 6, 0, −6, −12, … Common difference of −17, −28, −39, −50, … Common difference of −8, −1, 6, 13, …
✅ Answer key — Common difference
d = 7 d = 5 d = 8 d = 1 d = 4 d = −12 d = 9 d = −6 d = −11 d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 6
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 20, 23, 26 an AP? Is 18, 24, 30, 36 an AP? Is 20, 13, 6, −1 an AP? Is 1, 2, −3, −5 an AP? Is 19, 29, 37, 46 an AP? Is 8, 14, 20, 29 an AP? Is 9, 1, −7, −15 an AP? Is 4, 7, 12, 16 an AP?
✅ Answer key — Is it an AP?
Yes, d = 3 Yes, d = 6 Yes, d = −7 No No No Yes, d = −8 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 6
Name: Date: Score: / 8
Find the term.
The 27th term of 6, 9, 12, … The 35th term of 7, 3, −1, … The 38th term of 17, 15, 13, … The 30th term of 1, −1, −3, … The 13th term of 18, 27, 36, … The 25th term of 19, 26, 33, … The 29th term of 14, 19, 24, … The 18th term of −6, −10, −14, …
✅ Answer key — nth term
84 −129 −57 −57 126 187 154 −74 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 6
Name: Date: Score: / 8
Solve.
Which term of −16, −17, −18, … is −61? Which term of −1, −7, −13, … is −61? Which term of −13, −16, −19, … is −46? Which term of −12, −8, −4, … is 184? Which term of −20, −28, −36, … is −268? Which term of −3, 6, 15, … is 168? Which term of −6, −2, 2, … is 186? Which term of −2, −5, −8, … is −95?
✅ Answer key — Which term?
the 46th term the 11th term the 12th term the 50th term the 32nd term the 20th term the 49th term the 32nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 6
Name: Date: Score: / 8
Find the sum.
Sum of the first 17 terms of 4, 12, 20, … Sum of the first 17 terms of −6, −9, −12, … Sum of the first 14 terms of −9, −7, −5, … Sum of the first 16 terms of −9, −11, −13, … Sum of the first 9 terms of 16, 18, 20, … Sum of the first 11 terms of 1, 7, 13, … Sum of the first 17 terms of −4, −2, 0, … Sum of the first 14 terms of −8, 1, 10, …
✅ Answer key — Sum of n terms
1156 −510 56 −384 216 341 204 707 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 6
Name: Date: Score: / 6
Solve.
A hall has 28 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 24th row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 25 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 17th row? Aman saves ₹500 in the first month and ₹100 more every month after that. How much does he save in 6 months? A hall has 23 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 28th row? Find the sum of all two-digit numbers that are multiples of 4.
✅ Answer key — AP word problems
74 945 89 ₹4500 104 1188 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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