Free · Class 10 · 6 worksheets · answer keys · practise online · set 84
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 84
Name: Date: Score: / 10
Find d.
Common difference of −20, −15, −10, −5, … Common difference of 20, 11, 2, −7, … Common difference of 7, −5, −17, −29, … Common difference of −11, −16, −21, −26, … Common difference of 11, 17, 23, 29, … Common difference of 7, 10, 13, 16, … Common difference of −20, −19, −18, −17, … Common difference of 16, 20, 24, 28, … Common difference of 7, 2, −3, −8, … Common difference of −20, −32, −44, −56, …
✅ Answer key — Common difference
d = 5 d = −9 d = −12 d = −5 d = 6 d = 3 d = 1 d = 4 d = −5 d = −12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 84
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 5, 11, 18, 23 an AP? Is −6, −3, 0, 6 an AP? Is 0, 6, 12, 19 an AP? Is 8, 12, 16, 20 an AP? Is 20, 19, 18, 17 an AP? Is 16, 23, 30, 36 an AP? Is 19, 24, 29, 34 an AP? Is 19, 24, 30, 34 an AP?
✅ Answer key — Is it an AP?
No No No Yes, d = 4 Yes, d = −1 No Yes, d = 5 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 84
Name: Date: Score: / 8
Find the term.
The 35th term of −16, −23, −30, … The 36th term of −4, −5, −6, … The 27th term of −1, −8, −15, … The 33rd term of 4, 3, 2, … The 35th term of 2, −1, −4, … The 12th term of 15, 7, −1, … The 13th term of −4, −1, 2, … The 17th term of 9, 8, 7, …
✅ Answer key — nth term
−254 −39 −183 −28 −100 −73 32 −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 84
Name: Date: Score: / 8
Solve.
Which term of 3, 12, 21, … is 102? Which term of −4, 4, 12, … is 188? Which term of −5, −13, −21, … is −333? Which term of 20, 13, 6, … is −211? Which term of −7, −10, −13, … is −64? Which term of −13, −5, 3, … is 195? Which term of −18, −25, −32, … is −67? Which term of 1, 2, 3, … is 28?
✅ Answer key — Which term?
the 12th term the 25th term the 42nd term the 34th term the 20th term the 27th term the 8th term the 28th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 84
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of −5, −9, −13, … Sum of the first 14 terms of 18, 14, 10, … Sum of the first 25 terms of 7, 4, 1, … Sum of the first 14 terms of 19, 24, 29, … Sum of the first 10 terms of 7, 4, 1, … Sum of the first 28 terms of 6, 10, 14, … Sum of the first 14 terms of 17, 15, 13, … Sum of the first 16 terms of 11, 6, 1, …
✅ Answer key — Sum of n terms
−1769 −112 −725 721 −65 1680 56 −424 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 84
Name: Date: Score: / 6
Solve.
Aman saves ₹450 in the first month and ₹30 more every month after that. How much does he save in 7 months? A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 20th row? Aman saves ₹400 in the first month and ₹100 more every month after that. How much does he save in 11 months? Aman saves ₹450 in the first month and ₹80 more every month after that. How much does he save in 12 months? Aman saves ₹300 in the first month and ₹40 more every month after that. How much does he save in 10 months? Find the sum of all two-digit numbers that are multiples of 8.
✅ Answer key — AP word problems
₹3780 69 ₹9900 ₹10680 ₹4800 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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