Free · Class 10 · 6 worksheets · answer keys · practise online · set 68
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 68
Name: Date: Score: / 10
Find d.
Common difference of −15, −21, −27, −33, … Common difference of −19, −14, −9, −4, … Common difference of 14, 20, 26, 32, … Common difference of −16, −12, −8, −4, … Common difference of −12, −9, −6, −3, … Common difference of 20, 27, 34, 41, … Common difference of −6, 1, 8, 15, … Common difference of −7, −1, 5, 11, … Common difference of 11, 16, 21, 26, … Common difference of 4, 10, 16, 22, …
✅ Answer key — Common difference
d = −6 d = 5 d = 6 d = 4 d = 3 d = 7 d = 7 d = 6 d = 5 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 68
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −6, −9, −12, −15 an AP? Is 15, 16, 19, 18 an AP? Is 12, 17, 25, 27 an AP? Is 17, 11, 1, −7 an AP? Is −10, −11, −12, −16 an AP? Is 5, 7, 9, 11 an AP? Is 9, 14, 19, 24 an AP? Is 13, 21, 26, 37 an AP?
✅ Answer key — Is it an AP?
Yes, d = −3 No No No No Yes, d = 2 Yes, d = 5 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 68
Name: Date: Score: / 8
Find the term.
The 35th term of 5, −1, −7, … The 11th term of −8, −4, 0, … The 35th term of 16, 18, 20, … The 34th term of −3, 1, 5, … The 24th term of −16, −7, 2, … The 40th term of 14, 20, 26, … The 16th term of −2, 1, 4, … The 34th term of 1, −2, −5, …
✅ Answer key — nth term
−199 32 84 129 191 248 43 −98 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 68
Name: Date: Score: / 8
Solve.
Which term of −8, −13, −18, … is −238? Which term of 5, 4, 3, … is −31? Which term of −4, −9, −14, … is −69? Which term of 3, −2, −7, … is −202? Which term of −7, −5, −3, … is 35? Which term of −14, −6, 2, … is 138? Which term of −10, −15, −20, … is −170? Which term of −19, −12, −5, … is 296?
✅ Answer key — Which term?
the 47th term the 37th term the 14th term the 42nd term the 22nd term the 20th term the 33rd term the 46th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 68
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 18, 26, 34, … Sum of the first 12 terms of 9, 10, 11, … Sum of the first 24 terms of 3, 7, 11, … Sum of the first 13 terms of 18, 15, 12, … Sum of the first 11 terms of 7, 8, 9, … Sum of the first 23 terms of 14, 13, 12, … Sum of the first 18 terms of −8, −5, −2, … Sum of the first 11 terms of 6, 1, −4, …
✅ Answer key — Sum of n terms
540 174 1176 0 132 69 315 −209 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 68
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 4. A hall has 24 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹200 in the first month and ₹80 more every month after that. How much does he save in 10 months? Find the sum of all two-digit numbers that are multiples of 9. Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹400 in the first month and ₹60 more every month after that. How much does he save in 8 months?
✅ Answer key — AP word problems
1188 48 ₹5600 585 945 ₹4880 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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