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Class 10 Mathematics

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

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 (S_n=2n^2+5n) for an arithmetic progression, what will be the sum of the first (15) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsThe sum of the first (7) terms of an arithmetic progression is (203). If the first term is (5), what is the seventh term?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIf (S_n=3n^2+2n), what will be the sum of the first (8) terms?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 MathematicsAfter removing the first (10) odd natural numbers from the first (18) odd natural numbers, what is the sum of the remaining (8) numbers?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsIf the sum of the first (9) terms of an arithmetic progression is (279), and the first term is (7), what is the last term?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium MathematicsThe sum of the first (12) terms is (456), and the first term is (8). If the last term is (l), what is (l)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 67Medium 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 MathematicsIf the sum of the first (10) terms of an arithmetic progression is (310), and the last term is (49), what is the first term?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsThe sum of the first (9) terms of an arithmetic progression is (198). What will be the average of the first (9) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsIf \(S_n=\frac{n}{2}(a+l)\), \(a=14\), \(l=84\), and \(n=15\), find 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 MathematicsIf the first term of an arithmetic progression is (11), the last term is (71), and the number of terms is (16), what is the sum?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsThe sum of the first (6) terms of an arithmetic progression is (126). If the average of the first (6) terms is asked, what will it be?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsFind the sum of the first (14) terms of the arithmetic progression (6,9,12,\ldots).Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Easy MathematicsIf the average of the first (8) terms of an arithmetic progression is (18), what is the sum of the first (8) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Easy MathematicsThe sum of the first (10) terms of an arithmetic progression is (145), and the sum of the first (5) terms is (45). What is the sum of the (6)th to (10)th terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Easy MathematicsIf \(S_n=\frac{n}{2}(a+l)\), \(a=25\), \(l=5\), and \(n=7\), what is the sum?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Easy MathematicsIf the first term \(a\), last term \(l\), and total number of terms \(n\) of an arithmetic progression are known, which formula is directly used to find the sum of the first \(n\) terms?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Easy