Free · Class 10 · 6 worksheets · answer keys · practise online · set 12
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 12
Name: Date: Score: / 10
Find d.
Common difference of −14, −26, −38, −50, … Common difference of −1, 9, 19, 29, … Common difference of −3, −13, −23, −33, … Common difference of 4, 12, 20, 28, … Common difference of −18, −14, −10, −6, … Common difference of 1, 6, 11, 16, … Common difference of −4, 7, 18, 29, … Common difference of −6, −8, −10, −12, … Common difference of 9, 21, 33, 45, … Common difference of 12, 9, 6, 3, …
✅ Answer key — Common difference
d = −12 d = 10 d = −10 d = 8 d = 4 d = 5 d = 11 d = −2 d = 12 d = −3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 12
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, 6, 14, 22 an AP? Is −10, −11, −12, −10 an AP? Is 4, 11, 18, 25 an AP? Is 17, 14, 11, 7 an AP? Is 1, 6, 11, 16 an AP? Is −9, −12, −15, −18 an AP? Is −1, −9, −17, −22 an AP? Is 20, 25, 26, 29 an AP?
✅ Answer key — Is it an AP?
Yes, d = 8 No Yes, d = 7 No Yes, d = 5 Yes, d = −3 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 12
Name: Date: Score: / 8
Find the term.
The 36th term of 4, 7, 10, … The 14th term of 10, 11, 12, … The 24th term of −4, −13, −22, … The 20th term of 20, 26, 32, … The 21st term of 16, 21, 26, … The 40th term of 4, 3, 2, … The 27th term of −10, −5, 0, … The 32nd term of −17, −11, −5, …
✅ Answer key — nth term
109 23 −211 134 116 −35 120 169 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 12
Name: Date: Score: / 8
Solve.
Which term of −3, −12, −21, … is −363? Which term of −15, −16, −17, … is −57? Which term of −3, −4, −5, … is −49? Which term of −9, −3, 3, … is 81? Which term of −10, −12, −14, … is −80? Which term of −12, −9, −6, … is 81? Which term of 12, 11, 10, … is −10? Which term of −1, −3, −5, … is −43?
✅ Answer key — Which term?
the 41st term the 43rd term the 47th term the 16th term the 36th term the 32nd term the 23rd term the 22nd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 12
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of 5, 7, 9, … Sum of the first 16 terms of −8, −5, −2, … Sum of the first 27 terms of 19, 28, 37, … Sum of the first 15 terms of 3, 4, 5, … Sum of the first 29 terms of −6, 1, 8, … Sum of the first 20 terms of 20, 25, 30, … Sum of the first 9 terms of 4, 9, 14, … Sum of the first 24 terms of 2, −2, −6, …
✅ Answer key — Sum of n terms
957 232 3672 150 2668 1350 216 −1056 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 12
Name: Date: Score: / 6
Solve.
A hall has 27 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 11th row? A hall has 16 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 19th row? Find the sum of all two-digit numbers that are multiples of 3. A hall has 12 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 20th row? Aman saves ₹450 in the first month and ₹70 more every month after that. How much does he save in 10 months? Aman saves ₹300 in the first month and ₹80 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
57 52 1665 88 ₹7650 ₹3780 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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