Free · Class 10 · 6 worksheets · answer keys · practise online · set 40
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 40
Name: Date: Score: / 10
Find d.
Common difference of −8, −2, 4, 10, … Common difference of −5, 4, 13, 22, … Common difference of −18, −23, −28, −33, … Common difference of 5, 7, 9, 11, … Common difference of 12, 13, 14, 15, … Common difference of −3, −12, −21, −30, … Common difference of 15, 19, 23, 27, … Common difference of 16, 22, 28, 34, … Common difference of −14, −22, −30, −38, … Common difference of −1, −6, −11, −16, …
✅ Answer key — Common difference
d = 6 d = 9 d = −5 d = 2 d = 1 d = −9 d = 4 d = 6 d = −8 d = −5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 40
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 15, 9, 3, −3 an AP? Is 17, 9, 1, −4 an AP? Is 4, 8, 12, 15 an AP? Is −6, −15, −24, −34 an AP? Is −7, −15, −24, −31 an AP? Is 6, −2, −10, −18 an AP? Is −3, −12, −21, −31 an AP? Is −5, −2, 1, 4 an AP?
✅ Answer key — Is it an AP?
Yes, d = −6 No No No No Yes, d = −8 No Yes, d = 3 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 40
Name: Date: Score: / 8
Find the term.
The 14th term of 17, 19, 21, … The 21st term of 14, 16, 18, … The 36th term of −7, 1, 9, … The 18th term of 18, 23, 28, … The 23rd term of 9, 12, 15, … The 27th term of −9, −11, −13, … The 15th term of −3, 2, 7, … The 14th term of −13, −11, −9, …
✅ Answer key — nth term
43 54 273 103 75 −61 67 13 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 40
Name: Date: Score: / 8
Solve.
Which term of 13, 7, 1, … is −71? Which term of −6, 2, 10, … is 306? Which term of 18, 23, 28, … is 253? Which term of −2, −9, −16, … is −254? Which term of 14, 11, 8, … is −13? Which term of −8, 0, 8, … is 128? Which term of −18, −23, −28, … is −118? Which term of −4, 3, 10, … is 318?
✅ Answer key — Which term?
the 15th term the 40th term the 48th term the 37th term the 10th term the 18th term the 21st term the 47th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 40
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of 3, 7, 11, … Sum of the first 30 terms of −1, 8, 17, … Sum of the first 14 terms of 6, 1, −4, … Sum of the first 9 terms of 12, 13, 14, … Sum of the first 22 terms of −8, −1, 6, … Sum of the first 11 terms of 17, 20, 23, … Sum of the first 16 terms of −7, −12, −17, … Sum of the first 16 terms of 1, −2, −5, …
✅ Answer key — Sum of n terms
1711 3885 −371 144 1441 352 −712 −344 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 40
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 6. Aman saves ₹300 in the first month and ₹50 more every month after that. How much does he save in 9 months? Find the sum of all two-digit numbers that are multiples of 7. Aman saves ₹400 in the first month and ₹70 more every month after that. How much does he save in 11 months? Aman saves ₹150 in the first month and ₹70 more every month after that. How much does he save in 7 months? Aman saves ₹300 in the first month and ₹80 more every month after that. How much does he save in 6 months?
✅ Answer key — AP word problems
810 ₹4500 728 ₹8250 ₹2520 ₹3000 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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