Free · Class 10 · 6 worksheets · answer keys · practise online · set 25
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 25
Name: Date: Score: / 10
Find d.
Common difference of 18, 17, 16, 15, … Common difference of 8, 15, 22, 29, … Common difference of 8, 13, 18, 23, … Common difference of 6, −6, −18, −30, … Common difference of −18, −28, −38, −48, … Common difference of 5, 1, −3, −7, … Common difference of 18, 19, 20, 21, … Common difference of −1, 3, 7, 11, … Common difference of 7, 14, 21, 28, … Common difference of 17, 13, 9, 5, …
✅ Answer key — Common difference
d = −1 d = 7 d = 5 d = −12 d = −10 d = −4 d = 1 d = 4 d = 7 d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 25
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 13, 16, 19, 22 an AP? Is 3, −6, −15, −24 an AP? Is −3, 5, 13, 20 an AP? Is −8, −15, −20, −29 an AP? Is 4, 2, 0, −2 an AP? Is 19, 11, 3, −5 an AP? Is 10, 4, −2, −7 an AP? Is 10, 15, 20, 26 an AP?
✅ Answer key — Is it an AP?
Yes, d = 3 Yes, d = −9 No No Yes, d = −2 Yes, d = −8 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 25
Name: Date: Score: / 8
Find the term.
The 30th term of 3, 0, −3, … The 39th term of 8, 11, 14, … The 21st term of −12, −18, −24, … The 22nd term of 20, 21, 22, … The 23rd term of 13, 9, 5, … The 12th term of 3, 8, 13, … The 28th term of 1, −7, −15, … The 36th term of −16, −20, −24, …
✅ Answer key — nth term
−84 122 −132 41 −75 58 −215 −156 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 25
Name: Date: Score: / 8
Solve.
Which term of −5, 0, 5, … is 205? Which term of 18, 27, 36, … is 198? Which term of 7, 3, −1, … is −177? Which term of −3, −10, −17, … is −101? Which term of −17, −12, −7, … is 48? Which term of 7, 8, 9, … is 35? Which term of −5, −1, 3, … is 171? Which term of −19, −10, −1, … is 143?
✅ Answer key — Which term?
the 43rd term the 21st term the 47th term the 15th term the 14th term the 29th term the 45th term the 19th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 25
Name: Date: Score: / 8
Find the sum.
Sum of the first 22 terms of 13, 9, 5, … Sum of the first 29 terms of 17, 20, 23, … Sum of the first 26 terms of −6, −8, −10, … Sum of the first 19 terms of 5, 12, 19, … Sum of the first 19 terms of 7, 2, −3, … Sum of the first 16 terms of 4, 5, 6, … Sum of the first 18 terms of 2, 5, 8, … Sum of the first 16 terms of −2, 3, 8, …
✅ Answer key — Sum of n terms
−638 1711 −806 1292 −722 184 495 568 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 25
Name: Date: Score: / 6
Solve.
A hall has 15 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 ₹350 in the first month and ₹90 more every month after that. How much does he save in 12 months? 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 9. Aman saves ₹500 in the first month and ₹50 more every month after that. How much does he save in 9 months? A hall has 15 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 30th row?
✅ Answer key — AP word problems
51 ₹10140 1665 585 ₹6300 131 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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