Free · Class 10 · 6 worksheets · answer keys · practise online · set 15
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 15
Name: Date: Score: / 10
Find d.
Common difference of −16, −12, −8, −4, … Common difference of 14, 24, 34, 44, … Common difference of 14, 18, 22, 26, … Common difference of 13, 4, −5, −14, … Common difference of 0, −9, −18, −27, … Common difference of 3, 2, 1, 0, … Common difference of 13, 17, 21, 25, … Common difference of −13, −8, −3, 2, … Common difference of −12, −19, −26, −33, … Common difference of −4, −11, −18, −25, …
✅ Answer key — Common difference
d = 4 d = 10 d = 4 d = −9 d = −9 d = −1 d = 4 d = 5 d = −7 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 15
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 6, 14, 22, 30 an AP? Is 1, −4, −8, −14 an AP? Is −4, −2, 2, 5 an AP? Is 4, 4, 4, 4 an AP? Is −9, −13, −15, −18 an AP? Is 14, 23, 28, 35 an AP? Is 12, 21, 30, 38 an AP? Is 18, 22, 30, 36 an AP?
✅ Answer key — Is it an AP?
Yes, d = 8 No No Yes, d = 0 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 15
Name: Date: Score: / 8
Find the term.
The 31st term of 0, −9, −18, … The 11th term of 17, 21, 25, … The 10th term of 6, 15, 24, … The 22nd term of −6, 3, 12, … The 15th term of 1, 2, 3, … The 14th term of −15, −7, 1, … The 37th term of 0, −9, −18, … The 25th term of 13, 22, 31, …
✅ Answer key — nth term
−270 57 87 183 15 89 −324 229 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 15
Name: Date: Score: / 8
Solve.
Which term of 19, 10, 1, … is −134? Which term of −6, −4, −2, … is 24? Which term of −11, −2, 7, … is 277? Which term of 3, 9, 15, … is 243? Which term of −3, −12, −21, … is −318? Which term of −10, −16, −22, … is −292? Which term of 10, 15, 20, … is 185? Which term of −10, −8, −6, … is 54?
✅ Answer key — Which term?
the 18th term the 16th term the 33rd term the 41st term the 36th term the 48th term the 36th term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 15
Name: Date: Score: / 8
Find the sum.
Sum of the first 26 terms of 13, 22, 31, … Sum of the first 14 terms of 16, 25, 34, … Sum of the first 13 terms of 5, 9, 13, … Sum of the first 8 terms of −7, 2, 11, … Sum of the first 9 terms of −6, −1, 4, … Sum of the first 25 terms of −5, −4, −3, … Sum of the first 15 terms of 1, 9, 17, … Sum of the first 25 terms of 16, 11, 6, …
✅ Answer key — Sum of n terms
3263 1043 377 196 126 175 855 −1100 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 15
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 4. A hall has 27 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 16th row? Find the sum of all two-digit numbers that are multiples of 9. A hall has 25 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 12th row? A hall has 17 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 12th row? Find the sum of all two-digit numbers that are multiples of 5.
✅ Answer key — AP word problems
1188 57 585 69 50 945 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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