Free · Class 10 · 6 worksheets · answer keys · practise online · set 54
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 54
Name: Date: Score: / 10
Find d.
Common difference of 4, −8, −20, −32, … Common difference of 19, 16, 13, 10, … Common difference of 9, 4, −1, −6, … Common difference of 0, 11, 22, 33, … Common difference of −16, −5, 6, 17, … Common difference of 19, 31, 43, 55, … Common difference of −4, 2, 8, 14, … Common difference of −11, −17, −23, −29, … Common difference of −5, −7, −9, −11, … Common difference of 1, 5, 9, 13, …
✅ Answer key — Common difference
d = −12 d = −3 d = −5 d = 11 d = 11 d = 12 d = 6 d = −6 d = −2 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 54
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −7, −7, −7, −7 an AP? Is 3, 0, 3, 3 an AP? Is −3, 5, 11, 21 an AP? Is 5, −4, −13, −22 an AP? Is 11, 20, 29, 41 an AP? Is 12, 20, 25, 36 an AP? Is 7, 7, 8, 7 an AP? Is 13, 20, 27, 32 an AP?
✅ Answer key — Is it an AP?
Yes, d = 0 No No Yes, d = −9 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 54
Name: Date: Score: / 8
Find the term.
The 19th term of 0, −9, −18, … The 37th term of 20, 17, 14, … The 22nd term of 8, 5, 2, … The 16th term of 0, −7, −14, … The 37th term of 4, −1, −6, … The 27th term of 9, 8, 7, … The 19th term of −17, −11, −5, … The 32nd term of −4, 0, 4, …
✅ Answer key — nth term
−162 −88 −55 −105 −176 −17 91 120 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 54
Name: Date: Score: / 8
Solve.
Which term of −10, −18, −26, … is −274? Which term of 10, 4, −2, … is −56? Which term of 15, 6, −3, … is −120? Which term of 3, 6, 9, … is 57? Which term of −7, 1, 9, … is 89? Which term of −13, −17, −21, … is −129? Which term of 19, 18, 17, … is −24? Which term of −19, −26, −33, … is −243?
✅ Answer key — Which term?
the 34th term the 12th term the 16th term the 19th term the 13th term the 30th term the 44th term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 54
Name: Date: Score: / 8
Find the sum.
Sum of the first 18 terms of 14, 13, 12, … Sum of the first 18 terms of 15, 12, 9, … Sum of the first 19 terms of −4, −7, −10, … Sum of the first 30 terms of 13, 19, 25, … Sum of the first 10 terms of 8, 6, 4, … Sum of the first 9 terms of 10, 16, 22, … Sum of the first 23 terms of 8, 4, 0, … Sum of the first 12 terms of 13, 17, 21, …
✅ Answer key — Sum of n terms
99 −189 −589 3000 −10 306 −828 420 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 54
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 19th row? Aman saves ₹200 in the first month and ₹100 more every month after that. How much does he save in 7 months? A hall has 13 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 27th row? A hall has 26 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹100 in the first month and ₹70 more every month after that. How much does he save in 9 months? Find the sum of all two-digit numbers that are multiples of 8.
✅ Answer key — AP word problems
94 ₹3500 65 50 ₹3420 616 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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