Free · Class 10 · 6 worksheets · answer keys · practise online · set 5
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 5
Name: Date: Score: / 10
Find d.
Common difference of 19, 7, −5, −17, … Common difference of 4, 14, 24, 34, … Common difference of −8, 2, 12, 22, … Common difference of 18, 17, 16, 15, … Common difference of 12, 18, 24, 30, … Common difference of −3, −12, −21, −30, … Common difference of −5, 0, 5, 10, … Common difference of 19, 24, 29, 34, … Common difference of 5, 3, 1, −1, … Common difference of 12, 5, −2, −9, …
✅ Answer key — Common difference
d = −12 d = 10 d = 10 d = −1 d = 6 d = −9 d = 5 d = 5 d = −2 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 5
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −6, 0, 6, 12 an AP? Is 20, 17, 14, 12 an AP? Is −8, −8, −8, −8 an AP? Is 18, 16, 14, 12 an AP? Is 5, 5, 5, 5 an AP? Is 6, 0, −6, −12 an AP? Is 7, 5, 3, 1 an AP? Is 15, 10, 5, 0 an AP?
✅ Answer key — Is it an AP?
Yes, d = 6 No Yes, d = 0 Yes, d = −2 Yes, d = 0 Yes, d = −6 Yes, d = −2 Yes, d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 5
Name: Date: Score: / 8
Find the term.
The 35th term of 7, 0, −7, … The 15th term of 14, 8, 2, … The 30th term of −19, −10, −1, … The 21st term of 0, −1, −2, … The 27th term of 4, 8, 12, … The 28th term of −2, 7, 16, … The 25th term of −7, 1, 9, … The 35th term of −20, −18, −16, …
✅ Answer key — nth term
−231 −70 242 −20 108 241 185 48 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 5
Name: Date: Score: / 8
Solve.
Which term of −6, −9, −12, … is −153? Which term of 13, 20, 27, … is 230? Which term of 4, 9, 14, … is 79? Which term of −16, −15, −14, … is 4? Which term of 2, 1, 0, … is −40? Which term of 7, 9, 11, … is 67? Which term of 0, 5, 10, … is 195? Which term of −18, −14, −10, … is 170?
✅ Answer key — Which term?
the 50th term the 32nd term the 16th term the 21st term the 43rd term the 31st term the 40th term the 48th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 5
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of 2, −2, −6, … Sum of the first 25 terms of 4, 9, 14, … Sum of the first 8 terms of 14, 20, 26, … Sum of the first 10 terms of 10, 19, 28, … Sum of the first 15 terms of −9, −12, −15, … Sum of the first 12 terms of 5, 12, 19, … Sum of the first 24 terms of −10, −15, −20, … Sum of the first 13 terms of −3, 5, 13, …
✅ Answer key — Sum of n terms
−286 1600 280 505 −450 522 −1620 585 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 5
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. A hall has 16 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 27th row? Find the sum of all two-digit numbers that are multiples of 4. A hall has 26 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 19th row? Aman saves ₹500 in the first month and ₹80 more every month after that. How much does he save in 6 months? Aman saves ₹300 in the first month and ₹70 more every month after that. How much does he save in 8 months?
✅ Answer key — AP word problems
945 94 1188 62 ₹4200 ₹4360 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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