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Arithmetic Progression

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf in an AP, S₅ = 75 and S₁₀ = 275, what is the value of S₂₀?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsThe first term of an AP is (x), and the common difference is (x+2). If the sum of the first (10) terms is (365), what is the value of (x)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIn an AP, a = 3 and the sum from the 11th term to the 20th term is 465. Find d.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIn an AP, the sum of the first 15 terms equals the sum of the first 21 terms, i.e., \(S_{15}=S_{21}\). If the first term is \(a\) and the common difference is \(d\), which of the following relation must be true?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIf S₁₂ = 420 and S₆ = 150 for an AP, what is the sum from the 7th term to the 12th term, inclusive?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIn an AP, the sum of the first and last terms is 150 and the total sum is 1800. Find the number of terms.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIn an auditorium, the seats in rows are (20,24,28,\ldots). How many seats are there from the (15)th row to the (35)th row?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIf the sum of an AP is (S_n=2n^2+7n), find the (18)th term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIf S₁₅ = 465 and S₁₀ = 240 for an AP, what is the sum from the 11th term to the 15th term, inclusive?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIn an AP, d = 7, n = 16 and S₁₆ = 1176. Find the first term a.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIf an arithmetic progression has a non-zero common difference, what is the nature of the sum \(S_n\) of its first \(n\) terms as a function of \(n\)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIf the sum of the first n terms of an AP is Sₙ = 4n² − 3n, find the sum of the terms from the 12th term to the 20th term, inclusive.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIn the AP (50, 47, 44, ...), what is the sum of the terms from the 6th term to the 20th term, inclusive?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIn an AP, (a=14), (d=7), and (n=28). Find the sum of the first (28) terms.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Hard MathematicsIn an AP, the first term is 14, the last term is 104, and the number of terms is 19. What is the sum?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsIf an arithmetic progression has first term \(a\) and common difference \(d\), which is the correct formula for the sum \(S_n\) of its first \(n\) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsWhat is the sum of the first 13 terms of the AP 9, 16, 23, ...?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsFind the sum of the AP (7, 12, 17, ..., 82).Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsIf (S_n=5n^2-n), what is the value of (S_9)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsIn the AP 5, 9, 13, ..., how many first terms have sum 434?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard