Free · Class 10 · 6 worksheets · answer keys · practise online · set 88
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 88
Name: Date: Score: / 10
Find d.
Common difference of 16, 9, 2, −5, … Common difference of −12, −10, −8, −6, … Common difference of 2, −5, −12, −19, … Common difference of −14, −2, 10, 22, … Common difference of −4, −15, −26, −37, … Common difference of 18, 10, 2, −6, … Common difference of −2, 4, 10, 16, … Common difference of 4, 9, 14, 19, … Common difference of −2, −12, −22, −32, … Common difference of 2, 10, 18, 26, …
✅ Answer key — Common difference
d = −7 d = 2 d = −7 d = 12 d = −11 d = −8 d = 6 d = 5 d = −10 d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 88
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 2, −7, −16, −25 an AP? Is −8, −15, −22, −29 an AP? Is −7, −2, 3, 8 an AP? Is 20, 24, 28, 32 an AP? Is 12, 11, 8, 9 an AP? Is 14, 11, 8, 2 an AP? Is 12, 10, 6, 3 an AP? Is 13, 7, 1, −5 an AP?
✅ Answer key — Is it an AP?
Yes, d = −9 Yes, d = −7 Yes, d = 5 Yes, d = 4 No No No Yes, d = −6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 88
Name: Date: Score: / 8
Find the term.
The 18th term of 11, 6, 1, … The 12th term of −15, −12, −9, … The 33rd term of 15, 16, 17, … The 10th term of 10, 3, −4, … The 39th term of −20, −12, −4, … The 37th term of −5, −14, −23, … The 17th term of 4, 11, 18, … The 18th term of 17, 13, 9, …
✅ Answer key — nth term
−74 18 47 −53 284 −329 116 −51 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 88
Name: Date: Score: / 8
Solve.
Which term of 7, 12, 17, … is 237? Which term of −6, −14, −22, … is −366? Which term of −18, −10, −2, … is 238? Which term of −7, −9, −11, … is −23? Which term of −2, 1, 4, … is 37? Which term of −16, −19, −22, … is −40? Which term of −13, −22, −31, … is −112? Which term of 19, 12, 5, … is −247?
✅ Answer key — Which term?
the 47th term the 46th term the 33rd term the 9th term the 14th term the 9th term the 12th term the 39th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 88
Name: Date: Score: / 8
Find the sum.
Sum of the first 23 terms of 15, 19, 23, … Sum of the first 30 terms of 20, 21, 22, … Sum of the first 17 terms of −3, −5, −7, … Sum of the first 20 terms of 17, 26, 35, … Sum of the first 20 terms of 6, 4, 2, … Sum of the first 16 terms of 15, 11, 7, … Sum of the first 26 terms of −5, 2, 9, … Sum of the first 28 terms of 10, 18, 26, …
✅ Answer key — Sum of n terms
1357 1035 −323 2050 −260 −240 2145 3304 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 88
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 6. Aman saves ₹250 in the first month and ₹60 more every month after that. How much does he save in 12 months? A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 25th row? Find the sum of all two-digit numbers that are multiples of 9. Aman saves ₹200 in the first month and ₹50 more every month after that. How much does he save in 7 months? Aman saves ₹200 in the first month and ₹80 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
810 ₹6960 84 585 ₹2450 ₹3080 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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