Free · Class 10 · 6 worksheets · answer keys · practise online · set 18
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 18
Name: Date: Score: / 10
Find d.
Common difference of −17, −7, 3, 13, … Common difference of 13, 16, 19, 22, … Common difference of −5, −17, −29, −41, … Common difference of 1, 8, 15, 22, … Common difference of −15, −13, −11, −9, … Common difference of 9, 21, 33, 45, … Common difference of 20, 10, 0, −10, … Common difference of −7, −11, −15, −19, … Common difference of −16, −24, −32, −40, … Common difference of −8, −15, −22, −29, …
✅ Answer key — Common difference
d = 10 d = 3 d = −12 d = 7 d = 2 d = 12 d = −10 d = −4 d = −8 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 18
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 19, 21, 23 an AP? Is −2, −3, −3, −5 an AP? Is 3, 2, 7, 9 an AP? Is 20, 24, 28, 32 an AP? Is 10, 12, 18, 22 an AP? Is 1, 3, 5, 7 an AP? Is −8, 0, 8, 16 an AP? Is −2, 3, 6, 10 an AP?
✅ Answer key — Is it an AP?
Yes, d = 2 No No Yes, d = 4 No Yes, d = 2 Yes, d = 8 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 18
Name: Date: Score: / 8
Find the term.
The 11th term of −13, −20, −27, … The 38th term of 18, 17, 16, … The 13th term of 3, −5, −13, … The 31st term of −4, 4, 12, … The 19th term of −19, −18, −17, … The 39th term of −5, 1, 7, … The 14th term of −11, −3, 5, … The 26th term of 17, 15, 13, …
✅ Answer key — nth term
−83 −19 −93 236 −1 223 93 −33 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 18
Name: Date: Score: / 8
Solve.
Which term of 14, 23, 32, … is 365? Which term of −17, −13, −9, … is 67? Which term of −17, −24, −31, … is −206? Which term of 17, 12, 7, … is −188? Which term of −7, −8, −9, … is −19? Which term of −12, −3, 6, … is 60? Which term of 6, 0, −6, … is −234? Which term of 10, 7, 4, … is −119?
✅ Answer key — Which term?
the 40th term the 22nd term the 28th term the 42nd term the 13th term the 9th term the 41st term the 44th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 18
Name: Date: Score: / 8
Find the sum.
Sum of the first 16 terms of −1, −5, −9, … Sum of the first 14 terms of 13, 8, 3, … Sum of the first 19 terms of −6, 0, 6, … Sum of the first 23 terms of 12, 8, 4, … Sum of the first 29 terms of 18, 15, 12, … Sum of the first 23 terms of −9, −14, −19, … Sum of the first 13 terms of 8, 7, 6, … Sum of the first 15 terms of −6, 0, 6, …
✅ Answer key — Sum of n terms
−496 −273 912 −736 −696 −1472 26 540 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 18
Name: Date: Score: / 6
Solve.
A hall has 27 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 16th row? Aman saves ₹200 in the first month and ₹20 more every month after that. How much does he save in 11 months? A hall has 23 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 18th row? Find the sum of all two-digit numbers that are multiples of 4. A hall has 20 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 14th row? Aman saves ₹250 in the first month and ₹40 more every month after that. How much does he save in 6 months?
✅ Answer key — AP word problems
72 ₹3300 91 1188 72 ₹2100 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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