Free · Class 10 · 6 worksheets · answer keys · practise online · set 75
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 75
Name: Date: Score: / 10
Find d.
Common difference of 2, 10, 18, 26, … Common difference of 3, −5, −13, −21, … Common difference of −9, −12, −15, −18, … Common difference of −7, −11, −15, −19, … Common difference of −1, −5, −9, −13, … Common difference of −1, 10, 21, 32, … Common difference of 1, 11, 21, 31, … Common difference of −2, −14, −26, −38, … Common difference of −20, −22, −24, −26, … Common difference of −19, −7, 5, 17, …
✅ Answer key — Common difference
d = 8 d = −8 d = −3 d = −4 d = −4 d = 11 d = 10 d = −12 d = −2 d = 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 75
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 20, 21, 23 an AP? Is −4, 4, 12, 23 an AP? Is −8, 0, 8, 18 an AP? Is 17, 21, 25, 29 an AP? Is −10, −17, −24, −31 an AP? Is 5, 3, 3, 2 an AP? Is −9, −15, −21, −27 an AP? Is −2, 6, 14, 22 an AP?
✅ Answer key — Is it an AP?
No No No Yes, d = 4 Yes, d = −7 No Yes, d = −6 Yes, d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 75
Name: Date: Score: / 8
Find the term.
The 32nd term of 0, −9, −18, … The 39th term of −9, −18, −27, … The 14th term of 8, 4, 0, … The 19th term of −20, −12, −4, … The 27th term of 13, 16, 19, … The 36th term of 11, 3, −5, … The 16th term of −12, −19, −26, … The 36th term of −12, −18, −24, …
✅ Answer key — nth term
−279 −351 −44 124 91 −269 −117 −222 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 75
Name: Date: Score: / 8
Solve.
Which term of 0, −6, −12, … is −186? Which term of 20, 18, 16, … is −6? Which term of −13, −8, −3, … is 77? Which term of −12, −7, −2, … is 218? Which term of 5, 14, 23, … is 257? Which term of 13, 15, 17, … is 101? Which term of −20, −16, −12, … is 108? Which term of −3, −4, −5, … is −45?
✅ Answer key — Which term?
the 32nd term the 14th term the 19th term the 47th term the 29th term the 45th term the 33rd term the 43rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 75
Name: Date: Score: / 8
Find the sum.
Sum of the first 12 terms of 1, 9, 17, … Sum of the first 16 terms of −1, 1, 3, … Sum of the first 10 terms of −7, −10, −13, … Sum of the first 29 terms of 1, 6, 11, … Sum of the first 30 terms of −8, −2, 4, … Sum of the first 11 terms of 20, 25, 30, … Sum of the first 10 terms of −3, 1, 5, … Sum of the first 30 terms of 2, 7, 12, …
✅ Answer key — Sum of n terms
540 224 −205 2059 2370 495 150 2235 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 75
Name: Date: Score: / 6
Solve.
A hall has 28 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 19th row? Aman saves ₹150 in the first month and ₹90 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 9. A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 13th row? Aman saves ₹500 in the first month and ₹100 more every month after that. How much does he save in 6 months? A hall has 28 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 17th row?
✅ Answer key — AP word problems
82 ₹5550 585 48 ₹4500 92 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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