Free · Class 10 · 6 worksheets · answer keys · practise online · set 59
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 59
Name: Date: Score: / 10
Find d.
Common difference of 14, 24, 34, 44, … Common difference of −5, 6, 17, 28, … Common difference of 16, 10, 4, −2, … Common difference of −18, −24, −30, −36, … Common difference of 8, 20, 32, 44, … Common difference of −17, −8, 1, 10, … Common difference of 13, 17, 21, 25, … Common difference of 15, 17, 19, 21, … Common difference of 7, −4, −15, −26, … Common difference of 10, 6, 2, −2, …
✅ Answer key — Common difference
d = 10 d = 11 d = −6 d = −6 d = 12 d = 9 d = 4 d = 2 d = −11 d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 59
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 13, 14, 19, 22 an AP? Is 12, 3, −6, −15 an AP? Is −8, −4, 0, 4 an AP? Is −5, −10, −19, −26 an AP? Is 4, −4, −12, −22 an AP? Is −3, 5, 13, 21 an AP? Is −1, −9, −18, −25 an AP? Is 8, 12, 16, 18 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −9 Yes, d = 4 No No Yes, d = 8 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 59
Name: Date: Score: / 8
Find the term.
The 39th term of −1, −5, −9, … The 20th term of −19, −22, −25, … The 21st term of 13, 14, 15, … The 18th term of −14, −23, −32, … The 25th term of 0, 2, 4, … The 36th term of 1, 5, 9, … The 20th term of −14, −21, −28, … The 31st term of 11, 20, 29, …
✅ Answer key — nth term
−153 −76 33 −167 48 141 −147 281 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 59
Name: Date: Score: / 8
Solve.
Which term of 10, 2, −6, … is −206? Which term of −14, −7, 0, … is 98? Which term of −6, 2, 10, … is 66? Which term of −2, 4, 10, … is 64? Which term of 6, 14, 22, … is 270? Which term of −6, 1, 8, … is 106? Which term of −19, −23, −27, … is −147? Which term of −19, −16, −13, … is 92?
✅ Answer key — Which term?
the 28th term the 17th term the 10th term the 12th term the 34th term the 17th term the 33rd term the 38th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 59
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 9, 4, −1, … Sum of the first 13 terms of 13, 15, 17, … Sum of the first 27 terms of 19, 25, 31, … Sum of the first 16 terms of 19, 23, 27, … Sum of the first 11 terms of −10, −1, 8, … Sum of the first 22 terms of 12, 21, 30, … Sum of the first 13 terms of 14, 23, 32, … Sum of the first 20 terms of 0, 9, 18, …
✅ Answer key — Sum of n terms
−273 325 2619 784 385 2343 884 1710 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 59
Name: Date: Score: / 6
Solve.
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 3. Find the sum of all two-digit numbers that are multiples of 5. 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 28th row? Aman saves ₹250 in the first month and ₹30 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 8.
✅ Answer key — AP word problems
1188 1665 945 120 ₹3850 616 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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