Free · Class 10 · 6 worksheets · answer keys · practise online · set 79
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 79
Name: Date: Score: / 10
Find d.
Common difference of −7, −14, −21, −28, … Common difference of −5, −6, −7, −8, … Common difference of 18, 24, 30, 36, … Common difference of −11, −22, −33, −44, … Common difference of 1, 5, 9, 13, … Common difference of 12, 23, 34, 45, … Common difference of −12, −17, −22, −27, … Common difference of −1, 0, 1, 2, … Common difference of −7, −6, −5, −4, … Common difference of 9, 18, 27, 36, …
✅ Answer key — Common difference
d = −7 d = −1 d = 6 d = −11 d = 4 d = 11 d = −5 d = 1 d = 1 d = 9 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 79
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 9, 11, 13, 15 an AP? Is 9, 10, 11, 12 an AP? Is 16, 15, 16, 13 an AP? Is −5, −1, 2, 7 an AP? Is 5, 3, 1, −1 an AP? Is −1, 7, 15, 23 an AP? Is 18, 20, 22, 22 an AP? Is 19, 23, 31, 37 an AP?
✅ Answer key — Is it an AP?
Yes, d = 2 Yes, d = 1 No No Yes, d = −2 Yes, d = 8 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 79
Name: Date: Score: / 8
Find the term.
The 12th term of −10, −18, −26, … The 12th term of −4, 1, 6, … The 33rd term of −2, 2, 6, … The 40th term of 18, 23, 28, … The 25th term of −14, −19, −24, … The 36th term of −10, −14, −18, … The 17th term of −3, −1, 1, … The 35th term of −11, −16, −21, …
✅ Answer key — nth term
−98 51 126 213 −134 −150 29 −181 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 79
Name: Date: Score: / 8
Solve.
Which term of 1, 4, 7, … is 97? Which term of 5, 13, 21, … is 181? Which term of −11, −20, −29, … is −101? Which term of 0, 3, 6, … is 39? Which term of −15, −11, −7, … is 145? Which term of −19, −10, −1, … is 179? Which term of −12, −4, 4, … is 204? Which term of −18, −25, −32, … is −221?
✅ Answer key — Which term?
the 33rd term the 23rd term the 11th term the 14th term the 41st term the 23rd term the 28th term the 30th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 79
Name: Date: Score: / 8
Find the sum.
Sum of the first 18 terms of 17, 12, 7, … Sum of the first 29 terms of 5, 8, 11, … Sum of the first 29 terms of −9, −6, −3, … Sum of the first 30 terms of 12, 16, 20, … Sum of the first 18 terms of 6, 15, 24, … Sum of the first 8 terms of −5, 1, 7, … Sum of the first 9 terms of −9, −7, −5, … Sum of the first 11 terms of 11, 9, 7, …
✅ Answer key — Sum of n terms
−459 1363 957 2100 1485 128 −9 11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 79
Name: Date: Score: / 6
Solve.
Aman saves ₹250 in the first month and ₹100 more every month after that. How much does he save in 8 months? A hall has 21 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 21st row? A hall has 22 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 18th row? A hall has 27 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 26th row? Aman saves ₹450 in the first month and ₹50 more every month after that. How much does he save in 6 months? A hall has 12 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 26th row?
✅ Answer key — AP word problems
₹4800 101 56 127 ₹3450 87 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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