Free · Class 10 · 6 worksheets · answer keys · practise online · set 31
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 31
Name: Date: Score: / 10
Find d.
Common difference of 6, 15, 24, 33, … Common difference of −18, −19, −20, −21, … Common difference of 17, 28, 39, 50, … Common difference of −12, −7, −2, 3, … Common difference of 17, 5, −7, −19, … Common difference of 2, −4, −10, −16, … Common difference of −12, −15, −18, −21, … Common difference of 8, 7, 6, 5, … Common difference of −12, −8, −4, 0, … Common difference of 12, 14, 16, 18, …
✅ Answer key — Common difference
d = 9 d = −1 d = 11 d = 5 d = −12 d = −6 d = −3 d = −1 d = 4 d = 2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 31
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 5, 6, 7, 11 an AP? Is −6, −6, −6, −6 an AP? Is −7, −2, −1, 2 an AP? Is 4, 13, 22, 31 an AP? Is 19, 26, 33, 40 an AP? Is 8, 6, 4, 2 an AP? Is 7, 5, 3, 1 an AP? Is 15, 24, 33, 42 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 0 No Yes, d = 9 Yes, d = 7 Yes, d = −2 Yes, d = −2 Yes, d = 9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 31
Name: Date: Score: / 8
Find the term.
The 17th term of 2, 10, 18, … The 10th term of 2, 1, 0, … The 40th term of 3, 11, 19, … The 26th term of 11, 5, −1, … The 31st term of −10, −12, −14, … The 11th term of 14, 12, 10, … The 26th term of 10, 19, 28, … The 19th term of 8, 14, 20, …
✅ Answer key — nth term
130 −7 315 −139 −70 −6 235 116 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 31
Name: Date: Score: / 8
Solve.
Which term of 20, 28, 36, … is 252? Which term of −9, −11, −13, … is −75? Which term of −10, −17, −24, … is −136? Which term of −11, −5, 1, … is 235? Which term of 11, 18, 25, … is 123? Which term of −16, −23, −30, … is −226? Which term of −13, −18, −23, … is −78? Which term of −8, −15, −22, … is −162?
✅ Answer key — Which term?
the 30th term the 34th term the 19th term the 42nd term the 17th term the 31st term the 14th term the 23rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 31
Name: Date: Score: / 8
Find the sum.
Sum of the first 15 terms of 13, 12, 11, … Sum of the first 17 terms of −2, 3, 8, … Sum of the first 28 terms of 15, 21, 27, … Sum of the first 10 terms of 18, 15, 12, … Sum of the first 22 terms of −8, −1, 6, … Sum of the first 10 terms of 11, 19, 27, … Sum of the first 29 terms of 0, 9, 18, … Sum of the first 11 terms of 3, 4, 5, …
✅ Answer key — Sum of n terms
90 646 2688 45 1441 470 3654 88 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 31
Name: Date: Score: / 6
Solve.
A hall has 18 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 30th row? Aman saves ₹150 in the first month and ₹60 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 6. Find the sum of all two-digit numbers that are multiples of 7. Find the sum of all two-digit numbers that are multiples of 5. A hall has 22 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 17th row?
✅ Answer key — AP word problems
76 ₹1800 810 728 945 70 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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