Free · Class 10 · 6 worksheets · answer keys · practise online · set 2
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 2
Name: Date: Score: / 10
Find d.
Common difference of −16, −22, −28, −34, … Common difference of 3, 0, −3, −6, … Common difference of 7, −4, −15, −26, … Common difference of −20, −26, −32, −38, … Common difference of 2, −6, −14, −22, … Common difference of 5, −6, −17, −28, … Common difference of 14, 20, 26, 32, … Common difference of −4, −12, −20, −28, … Common difference of 15, 25, 35, 45, … Common difference of −20, −11, −2, 7, …
✅ Answer key — Common difference
d = −6 d = −3 d = −11 d = −6 d = −8 d = −11 d = 6 d = −8 d = 10 d = 9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 2
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 18, 14, 11, 6 an AP? Is 3, 9, 15, 18 an AP? Is 19, 24, 29, 34 an AP? Is 5, 11, 17, 22 an AP? Is 5, 13, 21, 29 an AP? Is 19, 23, 25, 31 an AP? Is 0, 2, 4, 6 an AP? Is −4, −11, −18, −25 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 5 No Yes, d = 8 No Yes, d = 2 Yes, d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 2
Name: Date: Score: / 8
Find the term.
The 25th term of −18, −17, −16, … The 18th term of −14, −11, −8, … The 32nd term of 9, 6, 3, … The 33rd term of −17, −14, −11, … The 22nd term of 8, 11, 14, … The 34th term of −4, −2, 0, … The 37th term of −16, −24, −32, … The 37th term of −5, −7, −9, …
✅ Answer key — nth term
6 37 −84 79 71 62 −304 −77 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 2
Name: Date: Score: / 8
Solve.
Which term of −19, −21, −23, … is −81? Which term of 0, 4, 8, … is 68? Which term of −1, 7, 15, … is 63? Which term of −19, −27, −35, … is −363? Which term of −13, −21, −29, … is −253? Which term of 20, 18, 16, … is −70? Which term of 16, 9, 2, … is −264? Which term of −10, −9, −8, … is 32?
✅ Answer key — Which term?
the 32nd term the 18th term the 9th term the 44th term the 31st term the 46th term the 41st term the 43rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 2
Name: Date: Score: / 8
Find the sum.
Sum of the first 23 terms of 5, 14, 23, … Sum of the first 30 terms of 1, −2, −5, … Sum of the first 22 terms of 4, 13, 22, … Sum of the first 23 terms of −4, 2, 8, … Sum of the first 28 terms of −3, 1, 5, … Sum of the first 24 terms of 1, −4, −9, … Sum of the first 20 terms of 0, 5, 10, … Sum of the first 19 terms of 1, 0, −1, …
✅ Answer key — Sum of n terms
2392 −1275 2167 1426 1428 −1356 950 −152 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 2
Name: Date: Score: / 6
Solve.
A hall has 20 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 19th row? A hall has 30 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 15th row? Aman saves ₹300 in the first month and ₹40 more every month after that. How much does he save in 9 months? Aman saves ₹300 in the first month and ₹30 more every month after that. How much does he save in 6 months? Aman saves ₹350 in the first month and ₹40 more every month after that. How much does he save in 8 months? A hall has 11 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 17th row?
✅ Answer key — AP word problems
74 58 ₹4140 ₹2250 ₹3920 43 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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