Free · Class 10 · 6 worksheets · answer keys · practise online · set 28
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 28
Name: Date: Score: / 10
Find d.
Common difference of −10, −4, 2, 8, … Common difference of 4, 6, 8, 10, … Common difference of −9, −10, −11, −12, … Common difference of −1, −6, −11, −16, … Common difference of 14, 5, −4, −13, … Common difference of 12, 8, 4, 0, … Common difference of 0, −6, −12, −18, … Common difference of 19, 26, 33, 40, … Common difference of −6, −9, −12, −15, … Common difference of 14, 25, 36, 47, …
✅ Answer key — Common difference
d = 6 d = 2 d = −1 d = −5 d = −9 d = −4 d = −6 d = 7 d = −3 d = 11 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 28
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −4, −1, 2, 5 an AP? Is 14, 15, 14, 14 an AP? Is 1, −2, −5, −7 an AP? Is 5, 6, 5, 5 an AP? Is 2, 9, 15, 23 an AP? Is 12, 16, 20, 24 an AP? Is 12, 11, 13, 9 an AP? Is 10, 14, 18, 22 an AP?
✅ Answer key — Is it an AP?
Yes, d = 3 No No No No Yes, d = 4 No Yes, d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 28
Name: Date: Score: / 8
Find the term.
The 25th term of −6, −2, 2, … The 22nd term of 9, 3, −3, … The 38th term of 10, 19, 28, … The 37th term of 5, 0, −5, … The 20th term of −13, −15, −17, … The 37th term of 5, 9, 13, … The 18th term of −8, −16, −24, … The 13th term of 13, 21, 29, …
✅ Answer key — nth term
90 −117 343 −175 −51 149 −144 109 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 28
Name: Date: Score: / 8
Solve.
Which term of 18, 27, 36, … is 351? Which term of −10, −15, −20, … is −195? Which term of 0, −7, −14, … is −196? Which term of 10, 2, −6, … is −270? Which term of −14, −22, −30, … is −238? Which term of −10, −15, −20, … is −90? Which term of 13, 15, 17, … is 71? Which term of 18, 19, 20, … is 64?
✅ Answer key — Which term?
the 38th term the 38th term the 29th term the 36th term the 29th term the 17th term the 30th term the 47th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 28
Name: Date: Score: / 8
Find the sum.
Sum of the first 23 terms of 12, 10, 8, … Sum of the first 11 terms of 7, 13, 19, … Sum of the first 16 terms of 15, 16, 17, … Sum of the first 8 terms of −2, 1, 4, … Sum of the first 24 terms of −10, −3, 4, … Sum of the first 13 terms of −5, −1, 3, … Sum of the first 9 terms of −2, 7, 16, … Sum of the first 19 terms of 5, 12, 19, …
✅ Answer key — Sum of n terms
−230 407 360 68 1692 247 306 1292 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 28
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 3. A hall has 29 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 19th row? Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹150 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 4. Find the sum of all two-digit numbers that are multiples of 7.
✅ Answer key — AP word problems
1665 83 945 ₹2750 1188 728 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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