Free · Class 10 · 6 worksheets · answer keys · practise online · set 4
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 4
Name: Date: Score: / 10
Find d.
Common difference of −18, −24, −30, −36, … Common difference of −5, −11, −17, −23, … Common difference of 15, 6, −3, −12, … Common difference of 11, 13, 15, 17, … Common difference of 1, −5, −11, −17, … Common difference of 17, 25, 33, 41, … Common difference of 20, 30, 40, 50, … Common difference of −6, 3, 12, 21, … Common difference of −7, −10, −13, −16, … Common difference of 19, 26, 33, 40, …
✅ Answer key — Common difference
d = −6 d = −6 d = −9 d = 2 d = −6 d = 8 d = 10 d = 9 d = −3 d = 7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 4
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 13, 7, 2, −5 an AP? Is 15, 9, 2, −3 an AP? Is 19, 26, 33, 40 an AP? Is 19, 10, 1, −8 an AP? Is 13, 4, −5, −12 an AP? Is 19, 24, 29, 31 an AP? Is 16, 14, 12, 13 an AP? Is 3, 15, 21, 30 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 7 Yes, d = −9 No No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 4
Name: Date: Score: / 8
Find the term.
The 20th term of −17, −13, −9, … The 32nd term of 0, −3, −6, … The 33rd term of −8, −9, −10, … The 19th term of −15, −24, −33, … The 14th term of 1, 5, 9, … The 18th term of 20, 25, 30, … The 19th term of −5, −8, −11, … The 24th term of 12, 15, 18, …
✅ Answer key — nth term
59 −93 −40 −177 53 105 −59 81 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 4
Name: Date: Score: / 8
Solve.
Which term of 12, 11, 10, … is −2? Which term of 19, 25, 31, … is 73? Which term of −18, −23, −28, … is −168? Which term of 12, 14, 16, … is 52? Which term of 13, 8, 3, … is −57? Which term of −5, −13, −21, … is −149? Which term of 3, 11, 19, … is 235? Which term of −8, −17, −26, … is −296?
✅ Answer key — Which term?
the 15th term the 10th term the 31st term the 21st term the 15th term the 19th term the 30th term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 4
Name: Date: Score: / 8
Find the sum.
Sum of the first 27 terms of 20, 15, 10, … Sum of the first 26 terms of 16, 25, 34, … Sum of the first 21 terms of 19, 21, 23, … Sum of the first 21 terms of 1, 2, 3, … Sum of the first 16 terms of −8, 0, 8, … Sum of the first 25 terms of 18, 17, 16, … Sum of the first 27 terms of 7, 15, 23, … Sum of the first 30 terms of 17, 16, 15, …
✅ Answer key — Sum of n terms
−1215 3341 819 231 832 150 2997 75 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 4
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 8. Aman saves ₹350 in the first month and ₹100 more every month after that. How much does he save in 10 months? Aman saves ₹500 in the first month and ₹50 more every month after that. How much does he save in 10 months? A hall has 19 seats in the first row and 3 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 3. Aman saves ₹250 in the first month and ₹40 more every month after that. How much does he save in 9 months?
✅ Answer key — AP word problems
616 ₹8000 ₹7250 55 1665 ₹3690 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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