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Sum Of N Terms

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

MathematicsIf the sum of an AP is (S_n=5n^2-4n), find the (35)th term.Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Expert 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 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 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 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 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 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 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 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 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 MathematicsWhich of the following formulas can represent \(S_n\), the sum of the first \(n\) terms of an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsThe lengths of rods in a ladder are (40,43,46,\ldots) cm. What is the total length of the first (15) rods?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Medium MathematicsIf an AP has first term \(a\), \(n\)th term \(l\), and \(n\) terms, 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 MathematicsWhich formula is appropriate for finding the sum of the first n terms of an arithmetic progression when the first term a and the last term l are known?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium MathematicsThe sum of the first n terms of a sequence is \(S_n\), with \(S_0=0\). Which of the following conditions is necessary and sufficient to prove that the sequence is an arithmetic progression?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIf the first term \(a\), the last (\(n\)th) term \(l\), and the number of terms \(n\) of an arithmetic progression are known, which is the correct formula for the sum of its first \(n\) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsWhat will be the sum of the first (35) natural numbers?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsIn an arithmetic progression, the first term is (31), the last term is (13), and the number of terms is (7). What is the sum?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsWhich formula correctly represents the sum of the first n terms of an arithmetic progression, where the first term is a and the common difference is d?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy