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

MathematicsThe \(n\)th term of an arithmetic progression is \(a_n=7-2n\). Which option correctly identifies its first term and common difference?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIn an AP, (a_5+a_{11}=138) and (a_{18}=165). What is (a_{36})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsWhich of the following formulas represents the \(n\)th term of an AP in which each successive term decreases by 3?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIf in an AP (a_{31}=a_9+198), what is the common difference?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIn the AP (221,204,187,\ldots), what is the first term less than (50)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsThe nth term of a sequence is \(a_n=pn+q\), where \(p\) and \(q\) are constants. Which statement about this sequence being an arithmetic progression (AP) is correct?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIn an AP, (a_{20}=0) and (a_{50}=-270). What is (a_1)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsWhich of the following nth-term rules represents an AP?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIf the \(p\)th term of an AP is \(a_p\) and its common difference is \(d\), which relation correctly gives the \(n\)th term?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsWhich of the following sequences has the same difference between every pair of consecutive terms and is therefore an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsWhich of the following rules defines the nth term of an arithmetic progression for every positive integer n?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsThe \(n\)th term of a sequence is \(a_n=4n-7\). What is the most appropriate reason for identifying it as an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsWhich of the following nth-term formulas defines an arithmetic progression (AP) necessarily?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsIf an arithmetic progression satisfies \(a_m=a_n\) for \(m\ne n\), which statement must be true?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Expert MathematicsThe first row of an auditorium has 24 seats, and each succeeding row has 4 more seats. A student says that the row with 100 seats is the 19th row because they used \(24+4n=100\). After correcting the student's error, which is the correct row?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsIf an arithmetic progression has first term 7 and common difference 5, which of the following expressions correctly represents its nth term?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsIf (a_{2n+1}=89), (a_{n+1}=41), and (d=6), what is (n)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsWhich of the following formulas defines an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsIn the AP (-47,-31,-15,\ldots), what is the first term greater than (500)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsWhich formula is used to identify any term of an arithmetic progression when its first term and common difference are known?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert