Free · Class 10 · 6 worksheets · answer keys · practise online · set 46
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 46
Name: Date: Score: / 10
Find d.
Common difference of −4, 1, 6, 11, … Common difference of 8, 6, 4, 2, … Common difference of 15, 17, 19, 21, … Common difference of −5, −13, −21, −29, … Common difference of 4, 7, 10, 13, … Common difference of 5, 2, −1, −4, … Common difference of −13, −7, −1, 5, … Common difference of −5, 5, 15, 25, … Common difference of −3, −13, −23, −33, … Common difference of 0, 4, 8, 12, …
✅ Answer key — Common difference
d = 5 d = −2 d = 2 d = −8 d = 3 d = −3 d = 6 d = 10 d = −10 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 46
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −2, −3, −4, −5 an AP? Is 9, 18, 25, 33 an AP? Is 16, 11, 3, 1 an AP? Is 4, −2, −10, −17 an AP? Is −6, 0, 6, 12 an AP? Is −2, 2, 6, 10 an AP? Is 16, 9, 3, −5 an AP? Is 20, 27, 34, 44 an AP?
✅ Answer key — Is it an AP?
Yes, d = −1 No No No Yes, d = 6 Yes, d = 4 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 46
Name: Date: Score: / 8
Find the term.
The 39th term of −17, −19, −21, … The 18th term of 1, −4, −9, … The 23rd term of −3, 5, 13, … The 37th term of 17, 13, 9, … The 18th term of 4, 5, 6, … The 31st term of −9, −12, −15, … The 14th term of 4, −2, −8, … The 16th term of −8, −12, −16, …
✅ Answer key — nth term
−93 −84 173 −127 21 −99 −74 −68 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 46
Name: Date: Score: / 8
Solve.
Which term of 2, 0, −2, … is −16? Which term of −19, −26, −33, … is −180? Which term of 0, −2, −4, … is −92? Which term of −3, 6, 15, … is 204? Which term of 9, 0, −9, … is −333? Which term of 15, 19, 23, … is 115? Which term of 3, −3, −9, … is −189? Which term of 15, 18, 21, … is 57?
✅ Answer key — Which term?
the 10th term the 24th term the 47th term the 24th term the 39th term the 26th term the 33rd term the 15th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 46
Name: Date: Score: / 8
Find the sum.
Sum of the first 29 terms of −10, −1, 8, … Sum of the first 18 terms of 20, 19, 18, … Sum of the first 11 terms of −1, 2, 5, … Sum of the first 17 terms of 17, 16, 15, … Sum of the first 30 terms of 19, 26, 33, … Sum of the first 9 terms of 11, 13, 15, … Sum of the first 18 terms of −4, 5, 14, … Sum of the first 20 terms of −1, −5, −9, …
✅ Answer key — Sum of n terms
3364 207 154 153 3615 171 1305 −780 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 46
Name: Date: Score: / 6
Solve.
Aman saves ₹450 in the first month and ₹50 more every month after that. How much does he save in 9 months? A hall has 17 seats in the first row and 3 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 ₹100 more every month after that. How much does he save in 12 months? Aman saves ₹400 in the first month and ₹100 more every month after that. How much does he save in 9 months? Aman saves ₹450 in the first month and ₹20 more every month after that. How much does he save in 7 months? Aman saves ₹400 in the first month and ₹70 more every month after that. How much does he save in 10 months?
✅ Answer key — AP word problems
₹5850 65 ₹7800 ₹7200 ₹3570 ₹7150 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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