Free · Class 10 · 6 worksheets · answer keys · practise online · set 27
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 27
Name: Date: Score: / 10
Find d.
Common difference of −15, −23, −31, −39, … Common difference of −11, −1, 9, 19, … Common difference of 10, 8, 6, 4, … Common difference of −19, −25, −31, −37, … Common difference of −6, 3, 12, 21, … Common difference of −7, 5, 17, 29, … Common difference of 2, −4, −10, −16, … Common difference of −15, −27, −39, −51, … Common difference of 14, 9, 4, −1, … Common difference of 7, −3, −13, −23, …
✅ Answer key — Common difference
d = −8 d = 10 d = −2 d = −6 d = 9 d = 12 d = −6 d = −12 d = −5 d = −10 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 27
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −7, −5, −1, −1 an AP? Is −5, 0, −1, 1 an AP? Is 15, 11, 7, 5 an AP? Is 20, 25, 30, 35 an AP? Is −2, 0, 2, 4 an AP? Is 20, 20, 22, 23 an AP? Is 17, 13, 9, 5 an AP? Is 2, −3, −8, −13 an AP?
✅ Answer key — Is it an AP?
No No No Yes, d = 5 Yes, d = 2 No Yes, d = −4 Yes, d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 27
Name: Date: Score: / 8
Find the term.
The 40th term of 19, 15, 11, … The 30th term of −6, −9, −12, … The 38th term of 17, 19, 21, … The 14th term of 8, 3, −2, … The 27th term of −6, −14, −22, … The 31st term of −9, −11, −13, … The 33rd term of −14, −8, −2, … The 35th term of 7, 0, −7, …
✅ Answer key — nth term
−137 −93 91 −57 −214 −69 178 −231 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 27
Name: Date: Score: / 8
Solve.
Which term of 17, 15, 13, … is −71? Which term of 0, −5, −10, … is −210? Which term of −17, −16, −15, … is 29? Which term of 14, 17, 20, … is 47? Which term of 9, 10, 11, … is 16? Which term of −2, −11, −20, … is −101? Which term of 12, 15, 18, … is 135? Which term of 15, 12, 9, … is −15?
✅ Answer key — Which term?
the 45th term the 43rd term the 47th term the 12th term the 8th term the 12th term the 42nd term the 11th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 27
Name: Date: Score: / 8
Find the sum.
Sum of the first 17 terms of −3, −8, −13, … Sum of the first 14 terms of 3, 0, −3, … Sum of the first 9 terms of 6, 14, 22, … Sum of the first 18 terms of −1, 6, 13, … Sum of the first 12 terms of −4, −3, −2, … Sum of the first 24 terms of 10, 17, 24, … Sum of the first 15 terms of −4, −7, −10, … Sum of the first 16 terms of 2, 3, 4, …
✅ Answer key — Sum of n terms
−731 −231 342 1053 18 2172 −375 152 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 27
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹450 in the first month and ₹20 more every month after that. How much does he save in 11 months? A hall has 10 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 12th row? A hall has 30 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 6. Aman saves ₹450 in the first month and ₹20 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
945 ₹6050 32 66 810 ₹4770 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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