Free · Class 10 · 6 worksheets · answer keys · practise online · set 63
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 63
Name: Date: Score: / 10
Find d.
Common difference of −11, −10, −9, −8, … Common difference of −14, −18, −22, −26, … Common difference of −4, −6, −8, −10, … Common difference of −15, −9, −3, 3, … Common difference of 2, −8, −18, −28, … Common difference of −12, −15, −18, −21, … Common difference of 19, 23, 27, 31, … Common difference of −19, −20, −21, −22, … Common difference of 14, 23, 32, 41, … Common difference of 14, 7, 0, −7, …
✅ Answer key — Common difference
d = 1 d = −4 d = −2 d = 6 d = −10 d = −3 d = 4 d = −1 d = 9 d = −7 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 63
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −1, 2, 5, 8 an AP? Is 18, 19, 20, 23 an AP? Is −3, 1, 5, 6 an AP? Is 6, 3, 0, −3 an AP? Is 10, 17, 24, 28 an AP? Is −4, −9, −14, −19 an AP? Is 9, 14, 19, 24 an AP? Is 12, 4, −4, −12 an AP?
✅ Answer key — Is it an AP?
Yes, d = 3 No No Yes, d = −3 No Yes, d = −5 Yes, d = 5 Yes, d = −8 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 63
Name: Date: Score: / 8
Find the term.
The 13th term of 19, 23, 27, … The 19th term of 20, 12, 4, … The 27th term of −18, −19, −20, … The 10th term of −14, −7, 0, … The 26th term of 4, 6, 8, … The 17th term of −3, 3, 9, … The 33rd term of −6, −1, 4, … The 38th term of 2, 5, 8, …
✅ Answer key — nth term
67 −124 −44 49 54 93 154 113 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 63
Name: Date: Score: / 8
Solve.
Which term of −11, −9, −7, … is 45? Which term of −6, 1, 8, … is 218? Which term of 4, 7, 10, … is 76? Which term of −15, −21, −27, … is −123? Which term of −7, −12, −17, … is −122? Which term of 17, 25, 33, … is 265? Which term of −9, −15, −21, … is −201? Which term of −7, −15, −23, … is −183?
✅ Answer key — Which term?
the 29th term the 33rd term the 25th term the 19th term the 24th term the 32nd term the 33rd term the 23rd term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 63
Name: Date: Score: / 8
Find the sum.
Sum of the first 22 terms of 14, 13, 12, … Sum of the first 20 terms of 7, 15, 23, … Sum of the first 25 terms of 14, 20, 26, … Sum of the first 29 terms of 15, 12, 9, … Sum of the first 17 terms of 16, 25, 34, … Sum of the first 21 terms of 17, 20, 23, … Sum of the first 30 terms of 17, 24, 31, … Sum of the first 11 terms of 12, 17, 22, …
✅ Answer key — Sum of n terms
77 1660 2150 −783 1496 987 3555 407 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 63
Name: Date: Score: / 6
Solve.
Aman saves ₹450 in the first month and ₹80 more every month after that. How much does he save in 6 months? Aman saves ₹350 in the first month and ₹80 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 4. A hall has 21 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 24th row? Aman saves ₹300 in the first month and ₹30 more every month after that. How much does he save in 9 months? A hall has 28 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 12th row?
✅ Answer key — AP word problems
₹3900 ₹6030 1188 67 ₹3780 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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