Free · Class 10 · 6 worksheets · answer keys · practise online · set 36
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 36
Name: Date: Score: / 10
Find d.
Common difference of −9, −11, −13, −15, … Common difference of 10, −1, −12, −23, … Common difference of −10, −16, −22, −28, … Common difference of −12, −13, −14, −15, … Common difference of −19, −11, −3, 5, … Common difference of 6, −5, −16, −27, … Common difference of 1, 2, 3, 4, … Common difference of 9, −1, −11, −21, … Common difference of −7, 2, 11, 20, … Common difference of −6, −15, −24, −33, …
✅ Answer key — Common difference
d = −2 d = −11 d = −6 d = −1 d = 8 d = −11 d = 1 d = −10 d = 9 d = −9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 36
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −9, −9, −9, −9 an AP? Is 20, 29, 38, 47 an AP? Is −10, −15, −20, −25 an AP? Is −2, 2, 6, 10 an AP? Is 12, 9, 6, 0 an AP? Is −5, −9, −13, −17 an AP? Is 5, 6, 13, 17 an AP? Is 1, 6, 11, 16 an AP?
✅ Answer key — Is it an AP?
Yes, d = 0 Yes, d = 9 Yes, d = −5 Yes, d = 4 No Yes, d = −4 No Yes, d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 36
Name: Date: Score: / 8
Find the term.
The 21st term of 3, 10, 17, … The 21st term of 0, −9, −18, … The 34th term of −15, −18, −21, … The 40th term of −15, −14, −13, … The 22nd term of 19, 27, 35, … The 24th term of −17, −24, −31, … The 29th term of −15, −24, −33, … The 35th term of 16, 10, 4, …
✅ Answer key — nth term
143 −180 −114 24 187 −178 −267 −188 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 36
Name: Date: Score: / 8
Solve.
Which term of 10, 2, −6, … is −134? Which term of 16, 7, −2, … is −110? Which term of 8, 16, 24, … is 80? Which term of −6, −8, −10, … is −104? Which term of −2, −9, −16, … is −72? Which term of −18, −11, −4, … is 206? Which term of −19, −20, −21, … is −68? Which term of 1, 8, 15, … is 309?
✅ Answer key — Which term?
the 19th term the 15th term the 10th term the 50th term the 11th term the 33rd term the 50th term the 45th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 36
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of 1, 4, 7, … Sum of the first 24 terms of −1, 1, 3, … Sum of the first 20 terms of 12, 7, 2, … Sum of the first 21 terms of 20, 24, 28, … Sum of the first 19 terms of −3, 4, 11, … Sum of the first 11 terms of −4, −6, −8, … Sum of the first 24 terms of −6, 3, 12, … Sum of the first 26 terms of 15, 14, 13, …
✅ Answer key — Sum of n terms
1335 528 −710 1260 1140 −154 2340 65 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 36
Name: Date: Score: / 6
Solve.
A hall has 11 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹100 in the first month and ₹100 more every month after that. How much does he save in 12 months? Aman saves ₹500 in the first month and ₹90 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 6 months? Aman saves ₹150 in the first month and ₹20 more every month after that. How much does he save in 10 months? A hall has 15 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 20th row?
✅ Answer key — AP word problems
47 ₹7800 ₹5390 ₹2400 ₹2400 53 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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