Free · Class 10 · 6 worksheets · answer keys · practise online · set 87
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 87
Name: Date: Score: / 10
Find d.
Common difference of −20, −21, −22, −23, … Common difference of 15, 13, 11, 9, … Common difference of −14, −5, 4, 13, … Common difference of 12, 4, −4, −12, … Common difference of 15, 4, −7, −18, … Common difference of 13, 3, −7, −17, … Common difference of 3, 6, 9, 12, … Common difference of 3, 11, 19, 27, … Common difference of −9, −2, 5, 12, … Common difference of 17, 24, 31, 38, …
✅ Answer key — Common difference
d = −1 d = −2 d = 9 d = −8 d = −11 d = −10 d = 3 d = 8 d = 7 d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 87
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 13, 12, 11, 10 an AP? Is 5, 13, 21, 30 an AP? Is 19, 17, 15, 13 an AP? Is 14, 7, −3, −7 an AP? Is 1, 6, 11, 16 an AP? Is 12, 3, −6, −15 an AP? Is 6, −2, −10, −18 an AP? Is −2, −7, −13, −17 an AP?
✅ Answer key — Is it an AP?
Yes, d = −1 No Yes, d = −2 No Yes, d = 5 Yes, d = −9 Yes, d = −8 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 87
Name: Date: Score: / 8
Find the term.
The 13th term of −12, −14, −16, … The 38th term of 7, 2, −3, … The 26th term of −7, −15, −23, … The 13th term of 20, 17, 14, … The 35th term of −15, −8, −1, … The 30th term of −10, −1, 8, … The 18th term of −20, −23, −26, … The 26th term of 19, 23, 27, …
✅ Answer key — nth term
−36 −178 −207 −16 223 251 −71 119 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 87
Name: Date: Score: / 8
Solve.
Which term of 17, 19, 21, … is 35? Which term of 0, 7, 14, … is 273? Which term of 7, 0, −7, … is −119? Which term of 8, 12, 16, … is 108? Which term of −7, −3, 1, … is 53? Which term of 18, 16, 14, … is −24? Which term of −8, −10, −12, … is −102? Which term of 9, 10, 11, … is 18?
✅ Answer key — Which term?
the 10th term the 40th term the 19th term the 26th term the 16th term the 22nd term the 48th term the 10th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 87
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of −7, −12, −17, … Sum of the first 14 terms of 4, 10, 16, … Sum of the first 12 terms of 16, 12, 8, … Sum of the first 18 terms of 16, 11, 6, … Sum of the first 21 terms of 8, 15, 22, … Sum of the first 27 terms of −7, −6, −5, … Sum of the first 25 terms of 12, 19, 26, … Sum of the first 26 terms of 10, 15, 20, …
✅ Answer key — Sum of n terms
−553 602 −72 −477 1638 162 2400 1885 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 87
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 4. A hall has 30 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 29th row? Find the sum of all two-digit numbers that are multiples of 8. Find the sum of all two-digit numbers that are multiples of 7. Aman saves ₹200 in the first month and ₹100 more every month after that. How much does he save in 11 months? Aman saves ₹150 in the first month and ₹70 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
1188 86 616 728 ₹7700 ₹3870 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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