Free · Class 10 · 6 worksheets · answer keys · practise online · set 39
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 39
Name: Date: Score: / 10
Find d.
Common difference of −19, −20, −21, −22, … Common difference of −3, 6, 15, 24, … Common difference of −6, 2, 10, 18, … Common difference of 8, 19, 30, 41, … Common difference of 10, −2, −14, −26, … Common difference of −20, −14, −8, −2, … Common difference of 17, 29, 41, 53, … Common difference of 3, 6, 9, 12, … Common difference of 6, 11, 16, 21, … Common difference of 19, 25, 31, 37, …
✅ Answer key — Common difference
d = −1 d = 9 d = 8 d = 11 d = −12 d = 6 d = 12 d = 3 d = 5 d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 39
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 10, 7, 4, 1 an AP? Is −4, −8, −18, −25 an AP? Is 0, −5, −10, −14 an AP? Is 16, 17, 18, 19 an AP? Is 7, 1, −5, −9 an AP? Is −1, 5, 8, 17 an AP? Is 14, 22, 30, 38 an AP? Is −2, 0, 2, 4 an AP?
✅ Answer key — Is it an AP?
Yes, d = −3 No No Yes, d = 1 No No Yes, d = 8 Yes, d = 2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 39
Name: Date: Score: / 8
Find the term.
The 23rd term of −12, −4, 4, … The 31st term of 8, 10, 12, … The 26th term of 11, 14, 17, … The 37th term of 9, 4, −1, … The 21st term of 4, 8, 12, … The 38th term of 16, 11, 6, … The 17th term of 2, 4, 6, … The 23rd term of −7, −2, 3, …
✅ Answer key — nth term
164 68 86 −171 84 −169 34 103 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 39
Name: Date: Score: / 8
Solve.
Which term of 3, −3, −9, … is −123? Which term of −8, −13, −18, … is −48? Which term of 15, 21, 27, … is 99? Which term of 0, −7, −14, … is −203? Which term of 1, −6, −13, … is −251? Which term of −12, −8, −4, … is 56? Which term of −17, −19, −21, … is −67? Which term of 16, 23, 30, … is 184?
✅ Answer key — Which term?
the 22nd term the 9th term the 15th term the 30th term the 37th term the 18th term the 26th term the 25th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 39
Name: Date: Score: / 8
Find the sum.
Sum of the first 25 terms of 10, 16, 22, … Sum of the first 20 terms of −3, 4, 11, … Sum of the first 15 terms of −4, −3, −2, … Sum of the first 18 terms of 13, 11, 9, … Sum of the first 12 terms of 8, 9, 10, … Sum of the first 21 terms of 3, 0, −3, … Sum of the first 23 terms of 20, 19, 18, … Sum of the first 11 terms of −4, −6, −8, …
✅ Answer key — Sum of n terms
2050 1270 45 −72 162 −567 207 −154 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 39
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 8. A hall has 23 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 10th row? Aman saves ₹300 in the first month and ₹50 more every month after that. How much does he save in 7 months? A hall has 19 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 25th row? A hall has 19 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 24th row? A hall has 18 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 16th row?
✅ Answer key — AP word problems
616 41 ₹3150 67 88 78 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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