Free · Class 10 · 6 worksheets · answer keys · practise online · set 35
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 35
Name: Date: Score: / 10
Find d.
Common difference of −8, −11, −14, −17, … Common difference of 6, −3, −12, −21, … Common difference of −1, 5, 11, 17, … Common difference of 4, 3, 2, 1, … Common difference of −10, −1, 8, 17, … Common difference of 12, 17, 22, 27, … Common difference of −11, −15, −19, −23, … Common difference of 15, 3, −9, −21, … Common difference of 17, 28, 39, 50, … Common difference of 6, 1, −4, −9, …
✅ Answer key — Common difference
d = −3 d = −9 d = 6 d = −1 d = 9 d = 5 d = −4 d = −12 d = 11 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 35
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 8, −1, −10 an AP? Is −5, 1, 7, 13 an AP? Is 11, 15, 19, 23 an AP? Is 17, 11, 5, −1 an AP? Is 16, 8, 3, −8 an AP? Is −5, −2, 2, 4 an AP? Is 20, 13, 3, −1 an AP? Is 18, 19, 22, 21 an AP?
✅ Answer key — Is it an AP?
Yes, d = −9 Yes, d = 6 Yes, d = 4 Yes, d = −6 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 35
Name: Date: Score: / 8
Find the term.
The 29th term of 15, 24, 33, … The 38th term of −15, −23, −31, … The 31st term of −18, −9, 0, … The 38th term of 13, 22, 31, … The 24th term of −4, 5, 14, … The 32nd term of 15, 19, 23, … The 20th term of −3, −8, −13, … The 35th term of 19, 23, 27, …
✅ Answer key — nth term
267 −311 252 346 203 139 −98 155 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 35
Name: Date: Score: / 8
Solve.
Which term of −15, −13, −11, … is 63? Which term of −15, −16, −17, … is −42? Which term of 11, 16, 21, … is 171? Which term of −14, −11, −8, … is 79? Which term of 16, 18, 20, … is 60? Which term of 2, 4, 6, … is 96? Which term of 12, 5, −2, … is −163? Which term of 3, −3, −9, … is −129?
✅ Answer key — Which term?
the 40th term the 28th term the 33rd term the 32nd term the 23rd term the 48th term the 26th term the 23rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 35
Name: Date: Score: / 8
Find the sum.
Sum of the first 21 terms of 6, 13, 20, … Sum of the first 21 terms of 1, 3, 5, … Sum of the first 21 terms of 7, 4, 1, … Sum of the first 17 terms of 5, 2, −1, … Sum of the first 8 terms of 17, 23, 29, … Sum of the first 21 terms of −7, 0, 7, … Sum of the first 25 terms of 10, 15, 20, … Sum of the first 21 terms of 7, 5, 3, …
✅ Answer key — Sum of n terms
1596 441 −483 −323 304 1323 1750 −273 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 35
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 17th row? Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 6. A hall has 26 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 27th row? A hall has 12 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 23rd row? Aman saves ₹450 in the first month and ₹60 more every month after that. How much does he save in 8 months?
✅ Answer key — AP word problems
42 1665 810 130 56 ₹5280 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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