Free · Class 10 · 6 worksheets · answer keys · practise online · set 49
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 49
Name: Date: Score: / 10
Find d.
Common difference of 5, 8, 11, 14, … Common difference of −19, −28, −37, −46, … Common difference of −1, 3, 7, 11, … Common difference of 3, −2, −7, −12, … Common difference of −10, −19, −28, −37, … Common difference of −10, −6, −2, 2, … Common difference of 0, 8, 16, 24, … Common difference of −13, −15, −17, −19, … Common difference of −8, −6, −4, −2, … Common difference of −2, 1, 4, 7, …
✅ Answer key — Common difference
d = 3 d = −9 d = 4 d = −5 d = −9 d = 4 d = 8 d = −2 d = 2 d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 49
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −9, −14, −17 an AP? Is 13, 11, 9, 7 an AP? Is 0, −6, −12, −18 an AP? Is 19, 12, 3, −2 an AP? Is 3, 0, −3, −6 an AP? Is 6, 2, −2, −8 an AP? Is 11, 12, 13, 13 an AP? Is 5, 3, 7, 8 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −2 Yes, d = −6 No Yes, d = −3 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 49
Name: Date: Score: / 8
Find the term.
The 25th term of 6, 7, 8, … The 30th term of −10, −5, 0, … The 14th term of 19, 22, 25, … The 28th term of 11, 19, 27, … The 28th term of 0, −5, −10, … The 24th term of −18, −15, −12, … The 35th term of −2, −11, −20, … The 32nd term of −13, −5, 3, …
✅ Answer key — nth term
30 135 58 227 −135 51 −308 235 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 49
Name: Date: Score: / 8
Solve.
Which term of −15, −23, −31, … is −191? Which term of −11, −17, −23, … is −107? Which term of −20, −14, −8, … is 40? Which term of −15, −13, −11, … is −1? Which term of 0, −4, −8, … is −136? Which term of −7, −3, 1, … is 69? Which term of 14, 10, 6, … is −94? Which term of −16, −8, 0, … is 272?
✅ Answer key — Which term?
the 23rd term the 17th term the 11th term the 8th term the 35th term the 20th term the 28th term the 37th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 49
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of −1, 7, 15, … Sum of the first 21 terms of 18, 17, 16, … Sum of the first 22 terms of 9, 16, 23, … Sum of the first 15 terms of 5, 10, 15, … Sum of the first 19 terms of −10, −8, −6, … Sum of the first 18 terms of −7, 1, 9, … Sum of the first 28 terms of 14, 23, 32, … Sum of the first 21 terms of −9, −10, −11, …
✅ Answer key — Sum of n terms
611 168 1815 600 152 1098 3794 −399 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 49
Name: Date: Score: / 6
Solve.
A hall has 10 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 23rd row? A hall has 26 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row? Aman saves ₹300 in the first month and ₹20 more every month after that. How much does he save in 6 months? 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 16th row? Aman saves ₹100 in the first month and ₹70 more every month after that. How much does he save in 7 months? Find the sum of all two-digit numbers that are multiples of 7.
✅ Answer key — AP word problems
54 92 ₹2100 87 ₹2170 728 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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