Free · Class 10 · 6 worksheets · answer keys · practise online · set 77
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 77
Name: Date: Score: / 10
Find d.
Common difference of −6, −18, −30, −42, … Common difference of 6, 0, −6, −12, … Common difference of −3, −15, −27, −39, … Common difference of −5, 1, 7, 13, … Common difference of 19, 16, 13, 10, … Common difference of 15, 24, 33, 42, … Common difference of −16, −21, −26, −31, … Common difference of 9, 2, −5, −12, … Common difference of −8, −17, −26, −35, … Common difference of 18, 30, 42, 54, …
✅ Answer key — Common difference
d = −12 d = −6 d = −12 d = 6 d = −3 d = 9 d = −5 d = −7 d = −9 d = 12 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 77
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −6, −1, 8, 15 an AP? Is −1, −1, −1, −1 an AP? Is 15, 16, 15, 18 an AP? Is 20, 15, 9, 5 an AP? Is 17, 24, 31, 38 an AP? Is 15, 12, 6, 6 an AP? Is −9, −1, 8, 15 an AP? Is −4, −9, −8, −10 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 0 No No Yes, d = 7 No No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 77
Name: Date: Score: / 8
Find the term.
The 40th term of 8, 6, 4, … The 16th term of 1, 2, 3, … The 15th term of 7, 14, 21, … The 15th term of 20, 23, 26, … The 19th term of −9, −15, −21, … The 38th term of −19, −28, −37, … The 34th term of 0, 2, 4, … The 19th term of 18, 22, 26, …
✅ Answer key — nth term
−70 16 105 62 −117 −352 66 90 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 77
Name: Date: Score: / 8
Solve.
Which term of −8, −17, −26, … is −359? Which term of 17, 16, 15, … is −13? Which term of 16, 21, 26, … is 71? Which term of 4, 8, 12, … is 52? Which term of −4, 4, 12, … is 172? Which term of 14, 21, 28, … is 77? Which term of 7, 8, 9, … is 39? Which term of 11, 6, 1, … is −149?
✅ Answer key — Which term?
the 40th term the 31st term the 12th term the 13th term the 23rd term the 10th term the 33rd term the 33rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 77
Name: Date: Score: / 8
Find the sum.
Sum of the first 14 terms of 19, 21, 23, … Sum of the first 26 terms of −3, 5, 13, … Sum of the first 13 terms of −6, −9, −12, … Sum of the first 29 terms of −8, −6, −4, … Sum of the first 14 terms of 13, 21, 29, … Sum of the first 22 terms of 11, 9, 7, … Sum of the first 12 terms of 4, 8, 12, … Sum of the first 24 terms of 5, 11, 17, …
✅ Answer key — Sum of n terms
448 2522 −312 580 910 −220 312 1776 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 77
Name: Date: Score: / 6
Solve.
Aman saves ₹300 in the first month and ₹20 more every month after that. How much does he save in 11 months? Find the sum of all two-digit numbers that are multiples of 7. A hall has 24 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 12th row? Aman saves ₹450 in the first month and ₹40 more every month after that. How much does he save in 8 months? Find the sum of all two-digit numbers that are multiples of 4. A hall has 20 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 11th row?
✅ Answer key — AP word problems
₹4400 728 68 ₹4720 1188 50 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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