Free · Class 10 · 6 worksheets · answer keys · practise online · set 32
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 32
Name: Date: Score: / 10
Find d.
Common difference of 20, 32, 44, 56, … Common difference of −10, −12, −14, −16, … Common difference of 9, −1, −11, −21, … Common difference of 16, 14, 12, 10, … Common difference of 3, 5, 7, 9, … Common difference of 9, 10, 11, 12, … Common difference of −6, 4, 14, 24, … Common difference of 10, 14, 18, 22, … Common difference of 19, 21, 23, 25, … Common difference of 2, 7, 12, 17, …
✅ Answer key — Common difference
d = 12 d = −2 d = −10 d = −2 d = 2 d = 1 d = 10 d = 4 d = 2 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 32
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 20, 20, 20, 20 an AP? Is 6, 4, 3, 0 an AP? Is 9, 10, 11, 12 an AP? Is −2, −4, −6, −8 an AP? Is 12, 8, 5, 0 an AP? Is 19, 11, 3, −2 an AP? Is 16, 17, 18, 19 an AP? Is −4, −8, −12, −16 an AP?
✅ Answer key — Is it an AP?
Yes, d = 0 No Yes, d = 1 Yes, d = −2 No No Yes, d = 1 Yes, d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 32
Name: Date: Score: / 8
Find the term.
The 10th term of 5, −2, −9, … The 21st term of −9, −8, −7, … The 31st term of −20, −17, −14, … The 32nd term of 20, 11, 2, … The 33rd term of 9, 10, 11, … The 15th term of −17, −9, −1, … The 13th term of 6, −3, −12, … The 29th term of 8, 7, 6, …
✅ Answer key — nth term
−58 11 70 −259 41 95 −102 −20 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 32
Name: Date: Score: / 8
Solve.
Which term of 19, 16, 13, … is −47? Which term of 6, 10, 14, … is 194? Which term of −6, −10, −14, … is −114? Which term of −9, −15, −21, … is −189? Which term of 6, 1, −4, … is −104? Which term of 17, 8, −1, … is −343? Which term of 9, 7, 5, … is −43? Which term of 19, 10, 1, … is −143?
✅ Answer key — Which term?
the 23rd term the 48th term the 28th term the 31st term the 23rd term the 41st term the 27th term the 19th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 32
Name: Date: Score: / 8
Find the sum.
Sum of the first 24 terms of −3, 3, 9, … Sum of the first 22 terms of 16, 18, 20, … Sum of the first 18 terms of 11, 15, 19, … Sum of the first 30 terms of 4, 6, 8, … Sum of the first 21 terms of 3, 11, 19, … Sum of the first 11 terms of 13, 21, 29, … Sum of the first 8 terms of 7, 6, 5, … Sum of the first 9 terms of −6, 1, 8, …
✅ Answer key — Sum of n terms
1584 814 810 990 1743 583 28 198 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 32
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 6. Aman saves ₹150 in the first month and ₹80 more every month after that. How much does he save in 9 months? A hall has 21 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 21st row? Aman saves ₹250 in the first month and ₹90 more every month after that. How much does he save in 9 months? A hall has 15 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 18th row? Aman saves ₹400 in the first month and ₹60 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
810 ₹4230 101 ₹5490 83 ₹4060 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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