Free · Class 10 · 6 worksheets · answer keys · practise online · set 62
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 62
Name: Date: Score: / 10
Find d.
Common difference of 12, 2, −8, −18, … Common difference of 1, 4, 7, 10, … Common difference of 16, 27, 38, 49, … Common difference of 7, 16, 25, 34, … Common difference of −12, −11, −10, −9, … Common difference of 20, 18, 16, 14, … Common difference of 19, 12, 5, −2, … Common difference of −8, −6, −4, −2, … Common difference of 1, −3, −7, −11, … Common difference of 8, 9, 10, 11, …
✅ Answer key — Common difference
d = −10 d = 3 d = 11 d = 9 d = 1 d = −2 d = −7 d = 2 d = −4 d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 62
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −1, 3, 7, 11 an AP? Is 19, 10, 3, −8 an AP? Is 4, 5, 6, 4 an AP? Is 6, 10, 8, 9 an AP? Is 5, −2, −7, −16 an AP? Is 14, 15, 18, 20 an AP? Is 15, 21, 25, 30 an AP? Is 12, 4, −4, −12 an AP?
✅ Answer key — Is it an AP?
Yes, d = 4 No No No No No No Yes, d = −8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 62
Name: Date: Score: / 8
Find the term.
The 20th term of −4, 2, 8, … The 32nd term of 4, 11, 18, … The 40th term of 12, 6, 0, … The 14th term of −11, −14, −17, … The 36th term of −4, −8, −12, … The 12th term of −17, −16, −15, … The 23rd term of −15, −10, −5, … The 12th term of −10, −19, −28, …
✅ Answer key — nth term
110 221 −222 −50 −144 −6 95 −109 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 62
Name: Date: Score: / 8
Solve.
Which term of 20, 15, 10, … is −90? Which term of −2, 3, 8, … is 48? Which term of −8, −4, 0, … is 116? Which term of 13, 16, 19, … is 130? Which term of −5, −9, −13, … is −161? Which term of −10, −2, 6, … is 158? Which term of 14, 7, 0, … is −84? Which term of 11, 9, 7, … is −77?
✅ Answer key — Which term?
the 23rd term the 11th term the 32nd term the 40th term the 40th term the 22nd term the 15th term the 45th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 62
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of −7, −2, 3, … Sum of the first 18 terms of 0, 6, 12, … Sum of the first 19 terms of −5, 0, 5, … Sum of the first 18 terms of 16, 15, 14, … Sum of the first 25 terms of −10, −6, −2, … Sum of the first 15 terms of 17, 18, 19, … Sum of the first 14 terms of −2, 0, 2, … Sum of the first 16 terms of 18, 16, 14, …
✅ Answer key — Sum of n terms
1965 918 760 135 950 360 154 48 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 62
Name: Date: Score: / 6
Solve.
A hall has 17 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 11th row? 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 26th row? Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹150 in the first month and ₹60 more every month after that. How much does he save in 6 months? Aman saves ₹250 in the first month and ₹30 more every month after that. How much does he save in 6 months? A hall has 29 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 26th row?
✅ Answer key — AP word problems
57 127 945 ₹1800 ₹1950 79 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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