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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 nth term of an arithmetic progression is \(a_n=7n-3\). Which of the following statements must be true?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, (a_5+a_{15}=100) and (a_9+a_{19}=164). What is (a_{27})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsThe AP of multiples of (17) greater than (500) is (510,527,544,\ldots). What is its (19)th term?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsWhich of the following nth-term expressions represents an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsWhich of the following formulas represents the \(n\)th term of an AP whose first term is \(-3\) and common difference is \(4\)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf \(a_{14}=3a_6+4\) and \(a_6=22\), what is \(a_{22}\)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, (a_{4n}=140), (a_n=32), and (d=6). What is (n)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn a reservoir, there are (360) litres of water in the first hour and (24) litres decrease each next hour. In which hour will the water be (96) litres?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn the AP (85,77,69,\ldots), which is the last term greater than (-35)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsWhich of the following sequences does not represent the nth term of an arithmetic progression (AP)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, (a_{17}=a_7+60) and (a_7=33). What is (a_{43})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf the nth term of a sequence is \(a_n=pn+q\), where \(p\) and \(q\) are constants, what type of sequence is it?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsWhat is the (23)rd term of the AP \(-9,\frac{-7}{2},2,\ldots\)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf p and q are constants, which of the following forms of the nth term guarantees that the sequence is an arithmetic progression?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, (a_2+a_6=50) and (a_{10}=57). What is (a_{22})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an arithmetic progression, if the terms at two different positions are equal, i.e. \(a_p=a_q\) where \(p\ne q\), which conclusion is necessary?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, (a_4=18) and (a_{16}=78). If (a_{4r}=138), what is (r)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf in an AP (a_{18}=a_6+84), what is the common difference?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn the AP (112,101,90,\ldots), what is the first term less than (15)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf (a_n=3n+4) and (a_m=91), what is (a_{m+12})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard