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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।

MathematicsThe first term of an AP is x, and the common difference is 3x − 2. If the sum of the first 12 terms is 1128, what is the value of x?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIn an AP, a = 7, and the sum from the 21st term to the 40th term is 3680. Find d.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIn an AP, d = −11 and S₄₁ = 0. What is the first term a?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf an arithmetic progression has first term \(a\) and common difference \(d\), which of the following expressions represents the sum \(S_n\) of its first \(n\) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf Sₙ = 7n² − 2n, find the sum from the 41st term to the 60th term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIn an AP, the sum of the first and last terms is 340, and the total sum is 5780. Find the number of terms.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsIn an auditorium, the seats in rows are (30,36,42,\ldots). How many seats are there from the (25)th row to the (50)th row?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf the sum of an AP is (S_n=4n^2+9n), find the (27)th term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf in an AP S₂₂ = 1474 and S₁₁ = 407, what is the sum from the 12th term to the 22nd term?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIn an AP, (d=9), (n=20), and (S_{20}=2450). Find the first term (a).Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf an AP has a = -35, d = 12, and n = 28, what is the value of S₍₂₈₎?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Hard MathematicsIf the sum of an AP is S_n = 6n² + n, find the sum from the 31st term to the 45th term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Hard MathematicsIf the sum of the first \(n\) terms of an AP is zero and \(n\) is odd, which of the following statements must be true?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Hard MathematicsIf in an AP, S₁₆ = 880 and S₈ = 280, what is the sum from the 9th term to the 16th term?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium MathematicsIn an AP, the sum of the first and last terms is 260, and the total sum is 4160. Find the number of terms.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium MathematicsIn an auditorium, the seats in rows are (25,30,35,\ldots). How many seats are there from the (18)th row to the (42)nd row?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Hard MathematicsIf the sum of an AP is (S_n=3n^2+5n), find the (22)nd term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Hard MathematicsIn an AP, (d=6), (n=18), and (S_{18}=1512). Find the first term (a).Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Hard MathematicsIf an AP has a = −20, d = 9, and n = 30, what is the value of S₃₀?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium MathematicsFind the sum of the first 20 terms of the AP (95, 89, 83, ...).Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium