Free · Class 10 · 6 worksheets · answer keys · practise online · set 94
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 94
Name: Date: Score: / 10
Find d.
Common difference of 14, 3, −8, −19, … Common difference of −14, −22, −30, −38, … Common difference of −14, −10, −6, −2, … Common difference of −11, −3, 5, 13, … Common difference of −9, −21, −33, −45, … Common difference of 12, 14, 16, 18, … Common difference of −13, −19, −25, −31, … Common difference of 18, 22, 26, 30, … Common difference of −9, 3, 15, 27, … Common difference of 15, 21, 27, 33, …
✅ Answer key — Common difference
d = −11 d = −8 d = 4 d = 8 d = −12 d = 2 d = −6 d = 4 d = 12 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 94
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 12, 9, 6, 3 an AP? Is 5, 8, 11, 14 an AP? Is −3, 0, 4, 6 an AP? Is 19, 11, 3, −5 an AP? Is 18, 18, 15, 18 an AP? Is −9, −15, −19, −24 an AP? Is 8, 10, 10, 14 an AP? Is 8, 5, 2, −1 an AP?
✅ Answer key — Is it an AP?
Yes, d = −3 Yes, d = 3 No Yes, d = −8 No No No Yes, d = −3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 94
Name: Date: Score: / 8
Find the term.
The 12th term of 0, 7, 14, … The 39th term of 19, 24, 29, … The 20th term of 20, 13, 6, … The 39th term of 19, 28, 37, … The 33rd term of 20, 16, 12, … The 18th term of −14, −20, −26, … The 35th term of −1, 4, 9, … The 33rd term of −10, −12, −14, …
✅ Answer key — nth term
77 209 −113 361 −108 −116 169 −74 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 94
Name: Date: Score: / 8
Solve.
Which term of 12, 8, 4, … is −56? Which term of 11, 12, 13, … is 25? Which term of −5, −3, −1, … is 11? Which term of 17, 14, 11, … is −40? Which term of 10, 4, −2, … is −56? Which term of −18, −26, −34, … is −90? Which term of −12, −11, −10, … is 14? Which term of −14, −7, 0, … is 210?
✅ Answer key — Which term?
the 18th term the 15th term the 9th term the 20th term the 12th term the 10th term the 27th term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 94
Name: Date: Score: / 8
Find the sum.
Sum of the first 27 terms of −8, −13, −18, … Sum of the first 9 terms of 6, 7, 8, … Sum of the first 16 terms of 8, 4, 0, … Sum of the first 25 terms of 10, 7, 4, … Sum of the first 30 terms of −1, 6, 13, … Sum of the first 26 terms of 3, −1, −5, … Sum of the first 14 terms of 10, 18, 26, … Sum of the first 24 terms of −8, −12, −16, …
✅ Answer key — Sum of n terms
−1971 90 −352 −650 3015 −1222 868 −1296 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 94
Name: Date: Score: / 6
Solve.
A hall has 27 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 25th row? Aman saves ₹300 in the first month and ₹100 more every month after that. How much does he save in 6 months? A hall has 14 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 ₹50 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 7. A hall has 13 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 28th row?
✅ Answer key — AP word problems
123 ₹3300 72 ₹5100 728 67 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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