Free · Class 10 · 6 worksheets · answer keys · practise online · set 11
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 11
Name: Date: Score: / 10
Find d.
Common difference of −9, 1, 11, 21, … Common difference of 12, 17, 22, 27, … Common difference of −19, −13, −7, −1, … Common difference of 3, 8, 13, 18, … Common difference of −9, −18, −27, −36, … Common difference of 10, 13, 16, 19, … Common difference of 9, 6, 3, 0, … Common difference of 14, 7, 0, −7, … Common difference of 11, 15, 19, 23, … Common difference of 6, 17, 28, 39, …
✅ Answer key — Common difference
d = 10 d = 5 d = 6 d = 5 d = −9 d = 3 d = −3 d = −7 d = 4 d = 11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 11
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −7, −12, −16, −22 an AP? Is −6, −9, −6, −6 an AP? Is 2, −5, −12, −19 an AP? Is 6, 10, 13, 18 an AP? Is 10, 14, 18, 22 an AP? Is 3, −1, −5, −6 an AP? Is −8, −2, 6, 10 an AP? Is 12, 8, 4, 0 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = −7 No Yes, d = 4 No No Yes, d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 11
Name: Date: Score: / 8
Find the term.
The 12th term of 3, 12, 21, … The 19th term of −6, −5, −4, … The 22nd term of 13, 14, 15, … The 22nd term of 5, 13, 21, … The 22nd term of 14, 23, 32, … The 32nd term of 3, 0, −3, … The 35th term of 4, 1, −2, … The 21st term of −17, −21, −25, …
✅ Answer key — nth term
102 12 34 173 203 −90 −98 −97 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 11
Name: Date: Score: / 8
Solve.
Which term of 5, 11, 17, … is 287? Which term of 20, 16, 12, … is −80? Which term of −13, −10, −7, … is 68? Which term of 2, −3, −8, … is −148? Which term of 0, −2, −4, … is −76? Which term of 8, 3, −2, … is −177? Which term of −20, −28, −36, … is −196? Which term of −11, −19, −27, … is −227?
✅ Answer key — Which term?
the 48th term the 26th term the 28th term the 31st term the 39th term the 38th term the 23rd term the 28th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 11
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 8, 6, 4, … Sum of the first 12 terms of −6, 2, 10, … Sum of the first 22 terms of 7, 8, 9, … Sum of the first 13 terms of −2, −7, −12, … Sum of the first 11 terms of 9, 5, 1, … Sum of the first 14 terms of −9, −11, −13, … Sum of the first 18 terms of 16, 12, 8, … Sum of the first 29 terms of 16, 15, 14, …
✅ Answer key — Sum of n terms
−10 456 385 −416 −121 −308 −324 58 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 11
Name: Date: Score: / 6
Solve.
Aman saves ₹150 in the first month and ₹100 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 8. A hall has 14 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 11th row? A hall has 16 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row? Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹150 in the first month and ₹80 more every month after that. How much does he save in 11 months?
✅ Answer key — AP word problems
₹2400 616 54 82 1665 ₹6050 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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