Free · Class 10 · 6 worksheets · answer keys · practise online · set 38
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 38
Name: Date: Score: / 10
Find d.
Common difference of 4, −4, −12, −20, … Common difference of 14, 26, 38, 50, … Common difference of −7, −9, −11, −13, … Common difference of 19, 21, 23, 25, … Common difference of 13, 14, 15, 16, … Common difference of 3, 14, 25, 36, … Common difference of −16, −27, −38, −49, … Common difference of 13, 10, 7, 4, … Common difference of 6, −3, −12, −21, … Common difference of 5, 6, 7, 8, …
✅ Answer key — Common difference
d = −8 d = 12 d = −2 d = 2 d = 1 d = 11 d = −11 d = −3 d = −9 d = 1 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 38
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −9, −18, −27, −38 an AP? Is 18, 13, 8, 3 an AP? Is 4, 0, −6, −8 an AP? Is 18, 21, 24, 27 an AP? Is 12, 20, 26, 33 an AP? Is −1, 5, 5, 8 an AP? Is 13, 6, −1, −11 an AP? Is −1, −3, 1, 2 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −5 No Yes, d = 3 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 38
Name: Date: Score: / 8
Find the term.
The 38th term of −4, −13, −22, … The 12th term of −2, 7, 16, … The 10th term of −9, −4, 1, … The 14th term of −7, −2, 3, … The 23rd term of −14, −19, −24, … The 24th term of −20, −13, −6, … The 25th term of −8, −14, −20, … The 19th term of 1, 8, 15, …
✅ Answer key — nth term
−337 97 36 58 −124 141 −152 127 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 38
Name: Date: Score: / 8
Solve.
Which term of 2, −3, −8, … is −233? Which term of 1, 10, 19, … is 343? Which term of −10, −9, −8, … is 23? Which term of 6, 0, −6, … is −114? Which term of 12, 18, 24, … is 204? Which term of 18, 12, 6, … is −78? Which term of 5, 8, 11, … is 83? Which term of −5, 2, 9, … is 79?
✅ Answer key — Which term?
the 48th term the 39th term the 34th term the 21st term the 33rd term the 17th term the 27th term the 13th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 38
Name: Date: Score: / 8
Find the sum.
Sum of the first 15 terms of 9, 12, 15, … Sum of the first 24 terms of 6, 13, 20, … Sum of the first 14 terms of −1, 4, 9, … Sum of the first 29 terms of 16, 13, 10, … Sum of the first 28 terms of 6, 10, 14, … Sum of the first 27 terms of 11, 10, 9, … Sum of the first 18 terms of 15, 10, 5, … Sum of the first 22 terms of 2, 1, 0, …
✅ Answer key — Sum of n terms
450 2076 441 −754 1680 −54 −495 −187 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 38
Name: Date: Score: / 6
Solve.
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 22nd row? Aman saves ₹100 in the first month and ₹50 more every month after that. How much does he save in 10 months? Aman saves ₹100 in the first month and ₹80 more every month after that. How much does he save in 9 months? 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 11th row? Find the sum of all two-digit numbers that are multiples of 7. A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 27th row?
✅ Answer key — AP word problems
55 ₹3250 ₹3780 52 728 75 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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