Free · Class 10 · 6 worksheets · answer keys · practise online · set 33
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 33
Name: Date: Score: / 10
Find d.
Common difference of −15, −6, 3, 12, … Common difference of −14, −25, −36, −47, … Common difference of 13, 15, 17, 19, … Common difference of 6, −3, −12, −21, … Common difference of −11, −13, −15, −17, … Common difference of −12, −16, −20, −24, … Common difference of −10, −7, −4, −1, … Common difference of −18, −9, 0, 9, … Common difference of −11, −16, −21, −26, … Common difference of −7, −14, −21, −28, …
✅ Answer key — Common difference
d = 9 d = −11 d = 2 d = −9 d = −2 d = −4 d = 3 d = 9 d = −5 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 33
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 4, 12, 18, 25 an AP? Is 1, −5, −11, −17 an AP? Is 8, 5, 2, −3 an AP? Is 6, 15, 24, 33 an AP? Is −2, −11, −20, −29 an AP? Is 13, 14, 15, 16 an AP? Is 13, 8, 3, 0 an AP? Is −7, −1, 5, 11 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −6 No Yes, d = 9 Yes, d = −9 Yes, d = 1 No Yes, d = 6 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 33
Name: Date: Score: / 8
Find the term.
The 32nd term of −1, −4, −7, … The 29th term of −5, 0, 5, … The 35th term of −3, 5, 13, … The 31st term of 16, 20, 24, … The 22nd term of −19, −12, −5, … The 24th term of −8, −7, −6, … The 38th term of −14, −16, −18, … The 40th term of −11, −16, −21, …
✅ Answer key — nth term
−94 135 269 136 128 15 −88 −206 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 33
Name: Date: Score: / 8
Solve.
Which term of −14, −5, 4, … is 310? Which term of 8, 12, 16, … is 36? Which term of 3, −5, −13, … is −149? Which term of −11, −16, −21, … is −196? Which term of −5, 2, 9, … is 65? Which term of −7, −4, −1, … is 119? Which term of 13, 8, 3, … is −192? Which term of −17, −14, −11, … is 49?
✅ Answer key — Which term?
the 37th term the 8th term the 20th term the 38th term the 11th term the 43rd term the 42nd term the 23rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 33
Name: Date: Score: / 8
Find the sum.
Sum of the first 13 terms of −3, −2, −1, … Sum of the first 28 terms of −4, −3, −2, … Sum of the first 13 terms of 11, 18, 25, … Sum of the first 8 terms of −5, −9, −13, … Sum of the first 20 terms of 11, 9, 7, … Sum of the first 24 terms of 15, 17, 19, … Sum of the first 26 terms of −1, −3, −5, … Sum of the first 23 terms of 16, 24, 32, …
✅ Answer key — Sum of n terms
39 266 689 −152 −160 912 −676 2392 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 33
Name: Date: Score: / 6
Solve.
Aman saves ₹200 in the first month and ₹50 more every month after that. How much does he save in 11 months? Aman saves ₹150 in the first month and ₹30 more every month after that. How much does he save in 6 months? Find the sum of all two-digit numbers that are multiples of 6. 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 20th row? Aman saves ₹150 in the first month and ₹70 more every month after that. How much does he save in 11 months? Aman saves ₹250 in the first month and ₹100 more every month after that. How much does he save in 10 months?
✅ Answer key — AP word problems
₹4950 ₹1350 810 60 ₹5500 ₹7000 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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