Free · Class 10 · 6 worksheets · answer keys · practise online · set 14
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 14
Name: Date: Score: / 10
Find d.
Common difference of 17, 5, −7, −19, … Common difference of 4, 1, −2, −5, … Common difference of −19, −24, −29, −34, … Common difference of 13, 23, 33, 43, … Common difference of 14, 24, 34, 44, … Common difference of 2, 3, 4, 5, … Common difference of 9, 5, 1, −3, … Common difference of 1, 11, 21, 31, … Common difference of 1, −9, −19, −29, … Common difference of −11, −1, 9, 19, …
✅ Answer key — Common difference
d = −12 d = −3 d = −5 d = 10 d = 10 d = 1 d = −4 d = 10 d = −10 d = 10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 14
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 19, 16, 13, 10 an AP? Is −1, 0, 1, 2 an AP? Is 20, 29, 40, 47 an AP? Is −3, −8, −19, −27 an AP? Is 18, 15, 12, 9 an AP? Is 8, 13, 18, 26 an AP? Is 8, 17, 26, 35 an AP? Is 17, 24, 33, 38 an AP?
✅ Answer key — Is it an AP?
Yes, d = −3 Yes, d = 1 No No Yes, d = −3 No Yes, d = 9 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 14
Name: Date: Score: / 8
Find the term.
The 17th term of −19, −16, −13, … The 23rd term of 15, 6, −3, … The 17th term of −20, −21, −22, … The 26th term of −16, −21, −26, … The 12th term of 3, 10, 17, … The 39th term of 19, 13, 7, … The 16th term of 18, 19, 20, … The 22nd term of −5, 1, 7, …
✅ Answer key — nth term
29 −183 −36 −141 80 −209 33 121 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 14
Name: Date: Score: / 8
Solve.
Which term of −16, −12, −8, … is 36? Which term of 9, 0, −9, … is −333? Which term of −20, −17, −14, … is 22? Which term of 13, 5, −3, … is −131? Which term of 4, 1, −2, … is −98? Which term of −3, −7, −11, … is −131? Which term of −20, −19, −18, … is 24? Which term of −14, −15, −16, … is −26?
✅ Answer key — Which term?
the 14th term the 39th term the 15th term the 19th term the 35th term the 33rd term the 45th term the 13th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 14
Name: Date: Score: / 8
Find the sum.
Sum of the first 25 terms of 13, 16, 19, … Sum of the first 10 terms of 17, 19, 21, … Sum of the first 14 terms of 17, 25, 33, … Sum of the first 23 terms of 4, 6, 8, … Sum of the first 20 terms of −5, −10, −15, … Sum of the first 22 terms of −8, −5, −2, … Sum of the first 22 terms of −9, −12, −15, … Sum of the first 11 terms of 19, 21, 23, …
✅ Answer key — Sum of n terms
1225 260 966 598 −1050 517 −891 319 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 14
Name: Date: Score: / 6
Solve.
Aman saves ₹300 in the first month and ₹90 more every month after that. How much does he save in 9 months? A hall has 26 seats in the first row and 2 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 8. Find the sum of all two-digit numbers that are multiples of 4. Find the sum of all two-digit numbers that are multiples of 9. 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 26th row?
✅ Answer key — AP word problems
₹5940 60 616 1188 585 123 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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