Free · Class 10 · 6 worksheets · answer keys · practise online · set 53
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 53
Name: Date: Score: / 10
Find d.
Common difference of −17, −22, −27, −32, … Common difference of 17, 14, 11, 8, … Common difference of 8, 6, 4, 2, … Common difference of 18, 27, 36, 45, … Common difference of 13, 9, 5, 1, … Common difference of −17, −8, 1, 10, … Common difference of −8, −19, −30, −41, … Common difference of −4, 1, 6, 11, … Common difference of −14, −4, 6, 16, … Common difference of 5, 12, 19, 26, …
✅ Answer key — Common difference
d = −5 d = −3 d = −2 d = 9 d = −4 d = 9 d = −11 d = 5 d = 10 d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 53
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −4, 1, 7, 11 an AP? Is −8, −12, −16, −20 an AP? Is 18, 26, 31, 42 an AP? Is −6, −13, −19, −27 an AP? Is −1, 4, 9, 14 an AP? Is 5, 14, 23, 32 an AP? Is 16, 7, −2, −11 an AP? Is 19, 16, 13, 10 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −4 No No Yes, d = 5 Yes, d = 9 Yes, d = −9 Yes, d = −3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 53
Name: Date: Score: / 8
Find the term.
The 10th term of −10, −14, −18, … The 18th term of 14, 18, 22, … The 26th term of −4, 2, 8, … The 28th term of 8, 12, 16, … The 22nd term of 11, 9, 7, … The 38th term of −19, −21, −23, … The 37th term of 5, 14, 23, … The 37th term of 4, 8, 12, …
✅ Answer key — nth term
−46 82 146 116 −31 −93 329 148 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 53
Name: Date: Score: / 8
Solve.
Which term of −8, −17, −26, … is −296? Which term of −15, −14, −13, … is 31? Which term of 9, 1, −7, … is −127? Which term of −17, −11, −5, … is 175? Which term of −5, −9, −13, … is −89? Which term of −14, −16, −18, … is −46? Which term of 1, −5, −11, … is −257? Which term of 1, 4, 7, … is 40?
✅ Answer key — Which term?
the 33rd term the 47th term the 18th term the 33rd term the 22nd term the 17th term the 44th term the 14th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 53
Name: Date: Score: / 8
Find the sum.
Sum of the first 26 terms of 6, 13, 20, … Sum of the first 20 terms of 11, 9, 7, … Sum of the first 17 terms of 14, 20, 26, … Sum of the first 26 terms of −9, −1, 7, … Sum of the first 23 terms of 19, 15, 11, … Sum of the first 15 terms of −4, 1, 6, … Sum of the first 30 terms of 15, 24, 33, … Sum of the first 8 terms of 1, 9, 17, …
✅ Answer key — Sum of n terms
2431 −160 1054 2366 −575 465 4365 232 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 53
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 9. Find the sum of all two-digit numbers that are multiples of 6. Find the sum of all two-digit numbers that are multiples of 8. A hall has 16 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹400 in the first month and ₹60 more every month after that. How much does he save in 9 months? A hall has 19 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 15th row?
✅ Answer key — AP word problems
585 810 616 64 ₹5760 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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