Free · Class 10 · 6 worksheets · answer keys · practise online · set 86
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 86
Name: Date: Score: / 10
Find d.
Common difference of −4, −2, 0, 2, … Common difference of 0, 5, 10, 15, … Common difference of −1, −7, −13, −19, … Common difference of −8, −14, −20, −26, … Common difference of −12, −20, −28, −36, … Common difference of −14, −4, 6, 16, … Common difference of 12, 3, −6, −15, … Common difference of −4, 3, 10, 17, … Common difference of 2, 11, 20, 29, … Common difference of −6, −10, −14, −18, …
✅ Answer key — Common difference
d = 2 d = 5 d = −6 d = −6 d = −8 d = 10 d = −9 d = 7 d = 9 d = −4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 86
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 16, 8, 0, −8 an AP? Is 16, 14, 12, 10 an AP? Is −3, 2, 7, 12 an AP? Is 19, 25, 25, 28 an AP? Is 11, 4, −3, −10 an AP? Is 3, 11, 19, 27 an AP? Is 6, 3, 0, −3 an AP? Is 15, 22, 29, 33 an AP?
✅ Answer key — Is it an AP?
Yes, d = −8 Yes, d = −2 Yes, d = 5 No Yes, d = −7 Yes, d = 8 Yes, d = −3 No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 86
Name: Date: Score: / 8
Find the term.
The 36th term of −15, −18, −21, … The 29th term of 0, −1, −2, … The 28th term of 1, 10, 19, … The 10th term of 6, 2, −2, … The 14th term of −11, −12, −13, … The 31st term of 11, 5, −1, … The 37th term of −18, −20, −22, … The 13th term of −9, −7, −5, …
✅ Answer key — nth term
−120 −28 244 −30 −24 −169 −90 15 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 86
Name: Date: Score: / 8
Solve.
Which term of 1, −7, −15, … is −119? Which term of 7, 14, 21, … is 266? Which term of 4, 1, −2, … is −83? Which term of −11, −20, −29, … is −83? Which term of −5, 0, 5, … is 205? Which term of 9, 8, 7, … is 2? Which term of −19, −24, −29, … is −164? Which term of −10, −3, 4, … is 284?
✅ Answer key — Which term?
the 16th term the 38th term the 30th term the 9th term the 43rd term the 8th term the 30th term the 43rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 86
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of −4, −9, −14, … Sum of the first 26 terms of −1, 4, 9, … Sum of the first 26 terms of 16, 20, 24, … Sum of the first 29 terms of 10, 16, 22, … Sum of the first 27 terms of −1, 0, 1, … Sum of the first 27 terms of 10, 18, 26, … Sum of the first 11 terms of 4, 12, 20, … Sum of the first 21 terms of 2, 3, 4, …
✅ Answer key — Sum of n terms
−511 1599 1716 2726 324 3078 484 252 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 86
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. Aman saves ₹350 in the first month and ₹80 more every month after that. How much does he save in 6 months? Aman saves ₹500 in the first month and ₹20 more every month after that. How much does he save in 11 months? A hall has 22 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 28th row? Aman saves ₹500 in the first month and ₹80 more every month after that. How much does he save in 10 months? A hall has 12 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 15th row?
✅ Answer key — AP word problems
1665 ₹3300 ₹6600 130 ₹8600 68 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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