Free · Class 10 · 6 worksheets · answer keys · practise online · set 76
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 76
Name: Date: Score: / 10
Find d.
Common difference of 17, 20, 23, 26, … Common difference of 15, 17, 19, 21, … Common difference of 10, −2, −14, −26, … Common difference of −14, −13, −12, −11, … Common difference of −13, −6, 1, 8, … Common difference of 14, 8, 2, −4, … Common difference of −5, −1, 3, 7, … Common difference of −3, −5, −7, −9, … Common difference of −12, −3, 6, 15, … Common difference of 10, 11, 12, 13, …
✅ Answer key — Common difference
d = 3 d = 2 d = −12 d = 1 d = 7 d = −6 d = 4 d = −2 d = 9 d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 76
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 8, 5, 2, −1 an AP? Is 3, 3, 6, 3 an AP? Is −10, −7, −4, −1 an AP? Is 1, 4, 8, 10 an AP? Is 9, 9, 13, 15 an AP? Is 18, 12, 5, 0 an AP? Is 20, 13, 6, −4 an AP? Is 17, 9, 5, −1 an AP?
✅ Answer key — Is it an AP?
Yes, d = −3 No Yes, d = 3 No No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 76
Name: Date: Score: / 8
Find the term.
The 21st term of 5, −3, −11, … The 29th term of 17, 11, 5, … The 40th term of −5, −8, −11, … The 16th term of −7, −3, 1, … The 34th term of 19, 24, 29, … The 32nd term of 13, 7, 1, … The 13th term of −2, −6, −10, … The 11th term of 14, 20, 26, …
✅ Answer key — nth term
−155 −151 −122 53 184 −173 −50 74 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 76
Name: Date: Score: / 8
Solve.
Which term of −1, 3, 7, … is 139? Which term of 16, 13, 10, … is −110? Which term of −13, −20, −27, … is −62? Which term of 7, 1, −5, … is −131? Which term of 11, 5, −1, … is −235? Which term of 8, 2, −4, … is −286? Which term of −2, −4, −6, … is −20? Which term of 13, 17, 21, … is 57?
✅ Answer key — Which term?
the 36th term the 43rd term the 8th term the 24th term the 42nd term the 50th term the 10th term the 12th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 76
Name: Date: Score: / 8
Find the sum.
Sum of the first 24 terms of 15, 17, 19, … Sum of the first 14 terms of 19, 18, 17, … Sum of the first 10 terms of −9, −7, −5, … Sum of the first 23 terms of 0, −2, −4, … Sum of the first 13 terms of −6, −7, −8, … Sum of the first 25 terms of 18, 26, 34, … Sum of the first 28 terms of 1, −3, −7, … Sum of the first 28 terms of 16, 22, 28, …
✅ Answer key — Sum of n terms
912 175 0 −506 −156 2850 −1484 2716 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 76
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 6. A hall has 16 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 23rd row? Aman saves ₹100 in the first month and ₹20 more every month after that. How much does he save in 9 months? Aman saves ₹450 in the first month and ₹30 more every month after that. How much does he save in 12 months? Find the sum of all two-digit numbers that are multiples of 8.
✅ Answer key — AP word problems
1665 810 60 ₹1620 ₹7380 616 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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