Free · Class 10 · 6 worksheets · answer keys · practise online
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
Name: Date: Score: / 10
Find d.
Common difference of −9, −18, −27, −36, … Common difference of 6, −1, −8, −15, … Common difference of −13, −6, 1, 8, … Common difference of 15, 14, 13, 12, … Common difference of −13, −9, −5, −1, … Common difference of 16, 14, 12, 10, … Common difference of −15, −17, −19, −21, … Common difference of −18, −23, −28, −33, … Common difference of −8, −14, −20, −26, … Common difference of −4, −8, −12, −16, …
✅ Answer key — Common difference
d = −9 d = −7 d = 7 d = −1 d = 4 d = −2 d = −2 d = −5 d = −6 d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −4, 0, 2 an AP? Is 4, 11, 18, 27 an AP? Is 2, 11, 20, 29 an AP? Is 3, −5, −13, −21 an AP? Is −10, −1, 8, 17 an AP? Is 18, 18, 18, 18 an AP? Is −4, −4, 2, 5 an AP? Is −4, 4, 12, 20 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 9 Yes, d = −8 Yes, d = 9 Yes, d = 0 No Yes, d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3
Name: Date: Score: / 8
Find the term.
The 20th term of −8, −12, −16, … The 15th term of 19, 11, 3, … The 16th term of 5, 11, 17, … The 15th term of 6, 9, 12, … The 23rd term of −20, −17, −14, … The 22nd term of −20, −13, −6, … The 16th term of −2, −7, −12, … The 38th term of −4, −3, −2, …
✅ Answer key — nth term
−84 −93 95 48 46 127 −77 33 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4
Name: Date: Score: / 8
Solve.
Which term of −3, −7, −11, … is −55? Which term of 20, 19, 18, … is −4? Which term of 4, 7, 10, … is 46? Which term of 1, −6, −13, … is −335? Which term of 16, 21, 26, … is 221? Which term of −4, −6, −8, … is −96? Which term of 14, 12, 10, … is −2? Which term of −7, −4, −1, … is 122?
✅ Answer key — Which term?
the 14th term the 25th term the 15th term the 49th term the 42nd term the 47th term the 9th term the 44th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5
Name: Date: Score: / 8
Find the sum.
Sum of the first 17 terms of −3, −4, −5, … Sum of the first 30 terms of −9, −12, −15, … Sum of the first 13 terms of −8, −9, −10, … Sum of the first 11 terms of 11, 13, 15, … Sum of the first 10 terms of −10, −12, −14, … Sum of the first 30 terms of 1, −2, −5, … Sum of the first 28 terms of 4, 6, 8, … Sum of the first 25 terms of 7, 2, −3, …
✅ Answer key — Sum of n terms
−187 −1575 −182 231 −190 −1275 868 −1325 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6
Name: Date: Score: / 6
Solve.
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 29th row? Aman saves ₹300 in the first month and ₹90 more every month after that. How much does he save in 8 months? A hall has 17 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 28th row? A hall has 13 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 8. Find the sum of all two-digit numbers that are multiples of 6.
✅ Answer key — AP word problems
86 ₹4920 98 37 616 810 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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