Free · Class 10 · 6 worksheets · answer keys · practise online · set 48
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 48
Name: Date: Score: / 10
Find d.
Common difference of −6, 5, 16, 27, … Common difference of 11, 23, 35, 47, … Common difference of 3, −6, −15, −24, … Common difference of 4, 12, 20, 28, … Common difference of 17, 24, 31, 38, … Common difference of 9, 4, −1, −6, … Common difference of 2, −8, −18, −28, … Common difference of −12, −2, 8, 18, … Common difference of 11, 8, 5, 2, … Common difference of 14, 19, 24, 29, …
✅ Answer key — Common difference
d = 11 d = 12 d = −9 d = 8 d = 7 d = −5 d = −10 d = 10 d = −3 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 48
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 2, −2, −6, −10 an AP? Is 11, 9, 7, 5 an AP? Is −10, −5, −3, 5 an AP? Is 11, 16, 21, 26 an AP? Is 3, 12, 20, 30 an AP? Is 9, 8, 7, 6 an AP? Is −8, −6, 2, 7 an AP? Is 17, 20, 23, 23 an AP?
✅ Answer key — Is it an AP?
Yes, d = −4 Yes, d = −2 No Yes, d = 5 No Yes, d = −1 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 48
Name: Date: Score: / 8
Find the term.
The 23rd term of −1, −2, −3, … The 17th term of −1, 6, 13, … The 36th term of −5, −9, −13, … The 23rd term of −14, −9, −4, … The 33rd term of −11, −10, −9, … The 36th term of 19, 17, 15, … The 15th term of −17, −16, −15, … The 22nd term of 12, 8, 4, …
✅ Answer key — nth term
−23 111 −145 96 21 −51 −3 −72 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 48
Name: Date: Score: / 8
Solve.
Which term of 13, 16, 19, … is 40? Which term of −15, −11, −7, … is 149? Which term of 9, 18, 27, … is 432? Which term of −2, −8, −14, … is −272? Which term of 7, −2, −11, … is −272? Which term of 17, 13, 9, … is −159? Which term of −19, −15, −11, … is 81? Which term of 0, 4, 8, … is 148?
✅ Answer key — Which term?
the 10th term the 42nd term the 48th term the 46th term the 32nd term the 45th term the 26th term the 38th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 48
Name: Date: Score: / 8
Find the sum.
Sum of the first 16 terms of 10, 12, 14, … Sum of the first 10 terms of 7, 2, −3, … Sum of the first 16 terms of 1, 6, 11, … Sum of the first 12 terms of 0, 6, 12, … Sum of the first 17 terms of 4, 5, 6, … Sum of the first 25 terms of 18, 26, 34, … Sum of the first 15 terms of 7, 9, 11, … Sum of the first 29 terms of 6, 13, 20, …
✅ Answer key — Sum of n terms
400 −155 616 396 204 2850 315 3016 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 48
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 6. A hall has 25 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 22nd row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 21 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 22nd row? Find the sum of all two-digit numbers that are multiples of 9. A hall has 21 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 13th row?
✅ Answer key — AP word problems
810 88 945 105 585 69 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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