Free · Class 10 · 6 worksheets · answer keys · practise online · set 85
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 85
Name: Date: Score: / 10
Find d.
Common difference of −15, −9, −3, 3, … Common difference of 19, 21, 23, 25, … Common difference of −17, −11, −5, 1, … Common difference of 5, 15, 25, 35, … Common difference of 15, 11, 7, 3, … Common difference of −7, −13, −19, −25, … Common difference of −13, −5, 3, 11, … Common difference of −19, −18, −17, −16, … Common difference of 14, 25, 36, 47, … Common difference of −20, −18, −16, −14, …
✅ Answer key — Common difference
d = 6 d = 2 d = 6 d = 10 d = −4 d = −6 d = 8 d = 1 d = 11 d = 2 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 85
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 14, 22, 31, 38 an AP? Is 19, 17, 15, 16 an AP? Is 0, 6, 12, 18 an AP? Is −1, −7, −13, −19 an AP? Is −1, −5, −9, −15 an AP? Is −7, −7, −7, −7 an AP? Is 19, 27, 31, 37 an AP? Is −2, −7, −12, −17 an AP?
✅ Answer key — Is it an AP?
No No Yes, d = 6 Yes, d = −6 No Yes, d = 0 No Yes, d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 85
Name: Date: Score: / 8
Find the term.
The 10th term of 0, 8, 16, … The 34th term of −5, 0, 5, … The 34th term of 0, 9, 18, … The 20th term of −13, −7, −1, … The 33rd term of 1, −5, −11, … The 19th term of −16, −19, −22, … The 37th term of −11, −16, −21, … The 32nd term of −6, −9, −12, …
✅ Answer key — nth term
72 160 297 101 −191 −70 −191 −99 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 85
Name: Date: Score: / 8
Solve.
Which term of −14, −9, −4, … is 56? Which term of 18, 26, 34, … is 82? Which term of 13, 6, −1, … is −113? Which term of −1, −4, −7, … is −34? Which term of 11, 14, 17, … is 38? Which term of 0, 3, 6, … is 36? Which term of 6, −1, −8, … is −267? Which term of 20, 21, 22, … is 37?
✅ Answer key — Which term?
the 15th term the 9th term the 19th term the 12th term the 10th term the 13th term the 40th term the 18th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 85
Name: Date: Score: / 8
Find the sum.
Sum of the first 8 terms of 3, −2, −7, … Sum of the first 15 terms of 20, 17, 14, … Sum of the first 24 terms of 19, 16, 13, … Sum of the first 10 terms of −2, −5, −8, … Sum of the first 30 terms of 14, 18, 22, … Sum of the first 28 terms of −5, −6, −7, … Sum of the first 13 terms of 6, 9, 12, … Sum of the first 26 terms of 14, 23, 32, …
✅ Answer key — Sum of n terms
−116 −15 −372 −155 2160 −518 312 3289 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 85
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 ₹70 more every month after that. How much does he save in 8 months? A hall has 24 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 17th row? Aman saves ₹100 in the first month and ₹90 more every month after that. How much does he save in 6 months? A hall has 13 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 14th row? Aman saves ₹500 in the first month and ₹100 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
1665 ₹4760 56 ₹1950 39 ₹5600 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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