Free · Class 10 · 6 worksheets · answer keys · practise online · set 80
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 80
Name: Date: Score: / 10
Find d.
Common difference of −10, −13, −16, −19, … Common difference of −5, 6, 17, 28, … Common difference of 17, 28, 39, 50, … Common difference of 18, 22, 26, 30, … Common difference of 13, 19, 25, 31, … Common difference of −3, 0, 3, 6, … Common difference of −6, −13, −20, −27, … Common difference of 16, 27, 38, 49, … Common difference of −1, −5, −9, −13, … Common difference of 13, 15, 17, 19, …
✅ Answer key — Common difference
d = −3 d = 11 d = 11 d = 4 d = 6 d = 3 d = −7 d = 11 d = −4 d = 2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 80
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 26, 31, 38 an AP? Is −8, −7, −6, −5 an AP? Is 17, 19, 20, 23 an AP? Is 6, 15, 24, 33 an AP? Is 3, 7, 17, 24 an AP? Is 16, 16, 22, 25 an AP? Is 17, 11, 5, −1 an AP? Is −2, −11, −20, −30 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 1 No Yes, d = 9 No No Yes, d = −6 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 80
Name: Date: Score: / 8
Find the term.
The 14th term of −12, −16, −20, … The 31st term of 19, 23, 27, … The 28th term of −16, −25, −34, … The 32nd term of 3, 0, −3, … The 35th term of 13, 20, 27, … The 37th term of −15, −10, −5, … The 12th term of −8, −12, −16, … The 23rd term of −13, −19, −25, …
✅ Answer key — nth term
−64 139 −259 −90 251 165 −52 −145 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 80
Name: Date: Score: / 8
Solve.
Which term of −15, −18, −21, … is −78? Which term of −1, −5, −9, … is −137? Which term of −6, −11, −16, … is −236? Which term of 12, 13, 14, … is 23? Which term of 9, 3, −3, … is −177? Which term of −9, −3, 3, … is 231? Which term of 12, 16, 20, … is 48? Which term of 0, 2, 4, … is 14?
✅ Answer key — Which term?
the 22nd term the 35th term the 47th term the 12th term the 32nd term the 41st term the 10th term the 8th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 80
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of −6, 0, 6, … Sum of the first 9 terms of 15, 14, 13, … Sum of the first 30 terms of −2, −6, −10, … Sum of the first 12 terms of 15, 16, 17, … Sum of the first 27 terms of 20, 21, 22, … Sum of the first 16 terms of −10, −1, 8, … Sum of the first 21 terms of 9, 13, 17, … Sum of the first 22 terms of −7, 0, 7, …
✅ Answer key — Sum of n terms
2262 99 −1800 246 891 920 1029 1463 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 80
Name: Date: Score: / 6
Solve.
A hall has 22 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 18th row? Find the sum of all two-digit numbers that are multiples of 4. Find the sum of all two-digit numbers that are multiples of 5. A hall has 12 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 29th row? A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row? A hall has 20 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 30th row?
✅ Answer key — AP word problems
90 1188 945 124 78 136 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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