Free · Class 10 · 6 worksheets · answer keys · practise online · set 47
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 47
Name: Date: Score: / 10
Find d.
Common difference of −8, −2, 4, 10, … Common difference of −14, −11, −8, −5, … Common difference of 19, 22, 25, 28, … Common difference of 16, 9, 2, −5, … Common difference of −5, −14, −23, −32, … Common difference of 16, 26, 36, 46, … Common difference of −2, 1, 4, 7, … Common difference of −17, −13, −9, −5, … Common difference of 6, 13, 20, 27, … Common difference of 12, 18, 24, 30, …
✅ Answer key — Common difference
d = 6 d = 3 d = 3 d = −7 d = −9 d = 10 d = 3 d = 4 d = 7 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 47
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −9, −1, 7, 17 an AP? Is 14, 11, 8, 5 an AP? Is 2, 11, 20, 29 an AP? Is 15, 15, 15, 14 an AP? Is −1, −6, −10, −16 an AP? Is 3, −3, −9, −13 an AP? Is −5, −11, −20, −23 an AP? Is −2, −9, −15, −23 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −3 Yes, d = 9 No No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 47
Name: Date: Score: / 8
Find the term.
The 16th term of 17, 16, 15, … The 32nd term of −13, −9, −5, … The 40th term of 15, 8, 1, … The 34th term of 13, 21, 29, … The 34th term of −10, −7, −4, … The 20th term of −4, −11, −18, … The 18th term of −6, 0, 6, … The 18th term of 16, 22, 28, …
✅ Answer key — nth term
2 111 −258 277 89 −137 96 118 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 47
Name: Date: Score: / 8
Solve.
Which term of −11, −4, 3, … is 171? Which term of 10, 7, 4, … is −125? Which term of 1, 4, 7, … is 34? Which term of −2, −1, 0, … is 17? Which term of −2, −6, −10, … is −186? Which term of −19, −25, −31, … is −283? Which term of −6, −14, −22, … is −70? Which term of −7, −10, −13, … is −94?
✅ Answer key — Which term?
the 27th term the 46th term the 12th term the 20th term the 47th term the 45th term the 9th term the 30th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 47
Name: Date: Score: / 8
Find the sum.
Sum of the first 16 terms of 0, 4, 8, … Sum of the first 25 terms of 14, 19, 24, … Sum of the first 8 terms of −1, −6, −11, … Sum of the first 9 terms of 11, 9, 7, … Sum of the first 8 terms of −7, −2, 3, … Sum of the first 24 terms of 3, 0, −3, … Sum of the first 26 terms of 11, 13, 15, … Sum of the first 12 terms of 9, 16, 23, …
✅ Answer key — Sum of n terms
480 1850 −148 27 84 −756 936 570 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 47
Name: Date: Score: / 6
Solve.
A hall has 14 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 13th row? Find the sum of all two-digit numbers that are multiples of 6. Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹450 in the first month and ₹70 more every month after that. How much does he save in 10 months? Aman saves ₹150 in the first month and ₹90 more every month after that. How much does he save in 8 months? Find the sum of all two-digit numbers that are multiples of 7.
✅ Answer key — AP word problems
38 810 1665 ₹7650 ₹3720 728 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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