Free · Class 10 · 6 worksheets · answer keys · practise online · set 78
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 78
Name: Date: Score: / 10
Find d.
Common difference of −4, −3, −2, −1, … Common difference of 14, 4, −6, −16, … Common difference of −3, −11, −19, −27, … Common difference of 13, 8, 3, −2, … Common difference of 19, 14, 9, 4, … Common difference of 18, 11, 4, −3, … Common difference of 14, 9, 4, −1, … Common difference of −18, −20, −22, −24, … Common difference of 11, 8, 5, 2, … Common difference of −8, 2, 12, 22, …
✅ Answer key — Common difference
d = 1 d = −10 d = −8 d = −5 d = −5 d = −7 d = −5 d = −2 d = −3 d = 10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 78
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −2, 4, 10 an AP? Is 15, 23, 31, 39 an AP? Is −10, −10, −8, −10 an AP? Is −5, −7, −5, −5 an AP? Is −1, −9, −17, −25 an AP? Is −10, −16, −22, −28 an AP? Is −9, −1, 9, 15 an AP? Is 6, −1, −8, −15 an AP?
✅ Answer key — Is it an AP?
Yes, d = 6 Yes, d = 8 No No Yes, d = −8 Yes, d = −6 No Yes, d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 78
Name: Date: Score: / 8
Find the term.
The 29th term of 19, 24, 29, … The 18th term of 7, 11, 15, … The 34th term of 2, −3, −8, … The 16th term of 4, 11, 18, … The 37th term of 15, 24, 33, … The 33rd term of 17, 19, 21, … The 18th term of 15, 24, 33, … The 29th term of 20, 28, 36, …
✅ Answer key — nth term
159 75 −163 109 339 81 168 244 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 78
Name: Date: Score: / 8
Solve.
Which term of 5, 1, −3, … is −155? Which term of −2, 2, 6, … is 90? Which term of 17, 13, 9, … is −143? Which term of 8, 13, 18, … is 43? Which term of 8, 6, 4, … is −12? Which term of −6, −8, −10, … is −54? Which term of 13, 22, 31, … is 301? Which term of −1, 4, 9, … is 179?
✅ Answer key — Which term?
the 41st term the 24th term the 41st term the 8th term the 11th term the 25th term the 33rd term the 37th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 78
Name: Date: Score: / 8
Find the sum.
Sum of the first 16 terms of 6, 15, 24, … Sum of the first 15 terms of 1, −4, −9, … Sum of the first 22 terms of 4, 3, 2, … Sum of the first 16 terms of 17, 14, 11, … Sum of the first 11 terms of 18, 13, 8, … Sum of the first 9 terms of 14, 10, 6, … Sum of the first 29 terms of −8, −2, 4, … Sum of the first 13 terms of −8, −7, −6, …
✅ Answer key — Sum of n terms
1176 −510 −143 −88 −77 −18 2204 −26 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 78
Name: Date: Score: / 6
Solve.
A hall has 22 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 22nd row? Aman saves ₹200 in the first month and ₹40 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 4. Aman saves ₹300 in the first month and ₹70 more every month after that. How much does he save in 10 months? A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 12th row? Aman saves ₹400 in the first month and ₹80 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
85 ₹1800 1188 ₹6150 45 ₹4480 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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