Free · Class 10 · 6 worksheets · answer keys · practise online · set 95
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 95
Name: Date: Score: / 10
Find d.
Common difference of 12, 7, 2, −3, … Common difference of −2, 3, 8, 13, … Common difference of 14, 19, 24, 29, … Common difference of 18, 20, 22, 24, … Common difference of 8, 15, 22, 29, … Common difference of 14, 20, 26, 32, … Common difference of 2, 0, −2, −4, … Common difference of −20, −23, −26, −29, … Common difference of 15, 14, 13, 12, … Common difference of 4, 8, 12, 16, …
✅ Answer key — Common difference
d = −5 d = 5 d = 5 d = 2 d = 7 d = 6 d = −2 d = −3 d = −1 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 95
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −8, −8, −8, −8 an AP? Is 8, 2, −5, −10 an AP? Is 11, 4, −5, −13 an AP? Is 0, −7, −10, −15 an AP? Is 1, −6, −13, −20 an AP? Is −3, 6, 15, 24 an AP? Is 7, 9, 13, 13 an AP? Is −7, 1, 9, 17 an AP?
✅ Answer key — Is it an AP?
Yes, d = 0 No No No Yes, d = −7 Yes, d = 9 No Yes, d = 8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 95
Name: Date: Score: / 8
Find the term.
The 24th term of −13, −10, −7, … The 39th term of −20, −18, −16, … The 20th term of 17, 10, 3, … The 27th term of 8, 12, 16, … The 12th term of 10, 1, −8, … The 27th term of −6, −15, −24, … The 34th term of −6, 0, 6, … The 25th term of 13, 5, −3, …
✅ Answer key — nth term
56 56 −116 112 −89 −240 192 −179 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 95
Name: Date: Score: / 8
Solve.
Which term of 15, 24, 33, … is 186? Which term of −5, −10, −15, … is −45? Which term of 15, 13, 11, … is −59? Which term of −14, −23, −32, … is −293? Which term of −6, 0, 6, … is 120? Which term of 18, 27, 36, … is 270? Which term of −10, −13, −16, … is −97? Which term of 19, 12, 5, … is −107?
✅ Answer key — Which term?
the 20th term the 9th term the 38th term the 32nd term the 22nd term the 29th term the 30th term the 19th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 95
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of 16, 11, 6, … Sum of the first 28 terms of 6, 12, 18, … Sum of the first 14 terms of 12, 18, 24, … Sum of the first 9 terms of 10, 8, 6, … Sum of the first 25 terms of −7, 2, 11, … Sum of the first 27 terms of 7, 4, 1, … Sum of the first 13 terms of 15, 20, 25, … Sum of the first 28 terms of −4, 0, 4, …
✅ Answer key — Sum of n terms
−1566 2436 714 18 2525 −864 585 1400 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 95
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. Find the sum of all two-digit numbers that are multiples of 7. Aman saves ₹100 in the first month and ₹90 more every month after that. How much does he save in 11 months? Aman saves ₹150 in the first month and ₹30 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 4. A hall has 16 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 10th row?
✅ Answer key — AP word problems
1665 728 ₹6050 ₹2850 1188 34 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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