Free · Class 10 · 6 worksheets · answer keys · practise online · set 72
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 72
Name: Date: Score: / 10
Find d.
Common difference of 5, 6, 7, 8, … Common difference of 6, 4, 2, 0, … Common difference of 0, −9, −18, −27, … Common difference of 17, 13, 9, 5, … Common difference of −19, −14, −9, −4, … Common difference of −16, −22, −28, −34, … Common difference of −12, −21, −30, −39, … Common difference of 14, 21, 28, 35, … Common difference of 15, 18, 21, 24, … Common difference of 8, −3, −14, −25, …
✅ Answer key — Common difference
d = 1 d = −2 d = −9 d = −4 d = 5 d = −6 d = −9 d = 7 d = 3 d = −11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 72
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −7, 0, 5, 14 an AP? Is −5, −8, −11, −13 an AP? Is 4, −3, −9, −17 an AP? Is −6, −4, −2, 0 an AP? Is 13, 22, 31, 40 an AP? Is 6, −2, −10, −18 an AP? Is 1, 5, 5, 7 an AP? Is −3, 2, 7, 12 an AP?
✅ Answer key — Is it an AP?
No No No Yes, d = 2 Yes, d = 9 Yes, d = −8 No Yes, d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 72
Name: Date: Score: / 8
Find the term.
The 26th term of 15, 19, 23, … The 39th term of −5, −2, 1, … The 26th term of −3, 0, 3, … The 23rd term of 18, 23, 28, … The 30th term of −7, −3, 1, … The 12th term of 4, 0, −4, … The 20th term of 9, 15, 21, … The 38th term of 13, 19, 25, …
✅ Answer key — nth term
115 109 72 128 109 −40 123 235 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 72
Name: Date: Score: / 8
Solve.
Which term of 9, 2, −5, … is −313? Which term of 2, 6, 10, … is 138? Which term of −13, −8, −3, … is 42? Which term of −16, −25, −34, … is −88? Which term of −14, −15, −16, … is −30? Which term of 15, 24, 33, … is 240? Which term of −16, −25, −34, … is −169? Which term of −18, −12, −6, … is 246?
✅ Answer key — Which term?
the 47th term the 35th term the 12th term the 9th term the 17th term the 26th term the 18th term the 45th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 72
Name: Date: Score: / 8
Find the sum.
Sum of the first 18 terms of 5, 0, −5, … Sum of the first 13 terms of 11, 12, 13, … Sum of the first 14 terms of 3, 0, −3, … Sum of the first 21 terms of −4, −5, −6, … Sum of the first 23 terms of −5, −2, 1, … Sum of the first 15 terms of −9, −1, 7, … Sum of the first 21 terms of 15, 18, 21, … Sum of the first 20 terms of 2, 4, 6, …
✅ Answer key — Sum of n terms
−675 221 −231 −294 644 705 945 420 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 72
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 4. A hall has 17 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 10th row? Aman saves ₹450 in the first month and ₹40 more every month after that. How much does he save in 9 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 27th row? Aman saves ₹250 in the first month and ₹30 more every month after that. How much does he save in 9 months? Aman saves ₹200 in the first month and ₹40 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
1188 53 ₹5490 67 ₹3330 ₹3240 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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