Free · Class 10 · 6 worksheets · answer keys · practise online · set 69
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 69
Name: Date: Score: / 10
Find d.
Common difference of −14, −7, 0, 7, … Common difference of 19, 18, 17, 16, … Common difference of 9, 4, −1, −6, … Common difference of −8, −6, −4, −2, … Common difference of −15, −16, −17, −18, … Common difference of −6, −3, 0, 3, … Common difference of −2, −13, −24, −35, … Common difference of 1, 4, 7, 10, … Common difference of 3, −5, −13, −21, … Common difference of −1, 11, 23, 35, …
✅ Answer key — Common difference
d = 7 d = −1 d = −5 d = 2 d = −1 d = 3 d = −11 d = 3 d = −8 d = 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 69
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 20, 26, 32, 38 an AP? Is −10, −7, 0, 5 an AP? Is −7, −4, −1, 2 an AP? Is 10, 11, 6, 4 an AP? Is 11, 20, 29, 38 an AP? Is 8, 4, 0, −4 an AP? Is −4, −8, −8, −10 an AP? Is −3, −8, −16, −18 an AP?
✅ Answer key — Is it an AP?
Yes, d = 6 No Yes, d = 3 No Yes, d = 9 Yes, d = −4 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 69
Name: Date: Score: / 8
Find the term.
The 27th term of −1, −7, −13, … The 28th term of −3, −5, −7, … The 29th term of −14, −18, −22, … The 16th term of −14, −23, −32, … The 27th term of −10, −14, −18, … The 39th term of −9, −10, −11, … The 24th term of −10, −3, 4, … The 37th term of 4, 11, 18, …
✅ Answer key — nth term
−157 −57 −126 −149 −114 −47 151 256 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 69
Name: Date: Score: / 8
Solve.
Which term of 18, 12, 6, … is −222? Which term of 0, 9, 18, … is 171? Which term of 11, 3, −5, … is −117? Which term of 16, 22, 28, … is 160? Which term of −17, −19, −21, … is −43? Which term of −2, 7, 16, … is 295? Which term of −5, −2, 1, … is 67? Which term of −1, 1, 3, … is 23?
✅ Answer key — Which term?
the 41st term the 20th term the 17th term the 25th term the 14th term the 34th term the 25th term the 13th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 69
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 6, 7, 8, … Sum of the first 29 terms of 1, −3, −7, … Sum of the first 24 terms of 4, 0, −4, … Sum of the first 28 terms of −4, 0, 4, … Sum of the first 29 terms of −7, −6, −5, … Sum of the first 13 terms of 4, 13, 22, … Sum of the first 30 terms of 19, 14, 9, … Sum of the first 25 terms of 4, 3, 2, …
✅ Answer key — Sum of n terms
105 −1595 −1008 1400 203 754 −1605 −200 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 69
Name: Date: Score: / 6
Solve.
Aman saves ₹250 in the first month and ₹70 more every month after that. How much does he save in 6 months? 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 21st row? A hall has 23 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 14th row? Find the sum of all two-digit numbers that are multiples of 6. Aman saves ₹450 in the first month and ₹90 more every month after that. How much does he save in 7 months? Aman saves ₹100 in the first month and ₹30 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
₹2550 85 62 810 ₹5040 ₹1980 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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