Free · Class 10 · 6 worksheets · answer keys · practise online · set 23
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 23
Name: Date: Score: / 10
Find d.
Common difference of −10, −17, −24, −31, … Common difference of −12, −2, 8, 18, … Common difference of −18, −21, −24, −27, … Common difference of 20, 16, 12, 8, … Common difference of −13, −8, −3, 2, … Common difference of −13, −18, −23, −28, … Common difference of −12, −24, −36, −48, … Common difference of 18, 17, 16, 15, … Common difference of 14, 23, 32, 41, … Common difference of 15, 13, 11, 9, …
✅ Answer key — Common difference
d = −7 d = 10 d = −3 d = −4 d = 5 d = −5 d = −12 d = −1 d = 9 d = −2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 23
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 20, 12, 4, −4 an AP? Is 9, 6, 3, 0 an AP? Is −10, −11, −12, −12 an AP? Is 10, 4, −2, −8 an AP? Is 14, 19, 24, 29 an AP? Is 11, 7, 5, −1 an AP? Is 4, 4, 4, 4 an AP? Is −5, −14, −23, −32 an AP?
✅ Answer key — Is it an AP?
Yes, d = −8 Yes, d = −3 No Yes, d = −6 Yes, d = 5 No Yes, d = 0 Yes, d = −9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 23
Name: Date: Score: / 8
Find the term.
The 29th term of 17, 23, 29, … The 28th term of 1, 2, 3, … The 34th term of −19, −21, −23, … The 25th term of −20, −17, −14, … The 32nd term of −19, −18, −17, … The 31st term of −13, −10, −7, … The 14th term of 11, 14, 17, … The 30th term of 20, 24, 28, …
✅ Answer key — nth term
185 28 −85 52 12 77 50 136 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 23
Name: Date: Score: / 8
Solve.
Which term of 17, 12, 7, … is −133? Which term of 18, 26, 34, … is 114? Which term of −8, −15, −22, … is −337? Which term of 6, −3, −12, … is −309? Which term of 7, 6, 5, … is 0? Which term of −2, −11, −20, … is −164? Which term of 6, 0, −6, … is −132? Which term of 10, 7, 4, … is −53?
✅ Answer key — Which term?
the 31st term the 13th term the 48th term the 36th term the 8th term the 19th term the 24th term the 22nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 23
Name: Date: Score: / 8
Find the sum.
Sum of the first 17 terms of −6, −2, 2, … Sum of the first 16 terms of 1, −4, −9, … Sum of the first 10 terms of −6, −7, −8, … Sum of the first 30 terms of 11, 12, 13, … Sum of the first 19 terms of −3, −2, −1, … Sum of the first 9 terms of −10, −8, −6, … Sum of the first 8 terms of 18, 15, 12, … Sum of the first 12 terms of 7, 3, −1, …
✅ Answer key — Sum of n terms
442 −584 −105 765 114 −18 60 −180 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 23
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. A hall has 22 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 28th row? Aman saves ₹250 in the first month and ₹20 more every month after that. How much does he save in 12 months? A hall has 25 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 25 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 16th row? Aman saves ₹100 in the first month and ₹30 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
945 76 ₹4320 65 55 ₹1980 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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