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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।

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_n=9n+2), what is (k) for (a_{3k}-a_k=144)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIn an AP, a₁₀ = 54 and a₃₄ = 174. What is a₂₂?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Medium 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 MathematicsIf (a_1=5), (d=7), and (a_{2n+3}=159), what is the value of (n)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsA student studies for (27) minutes on the first day and (6) more minutes each day. On which day will he study for (165) minutes?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 the AP (20,31,42,\ldots), what is the greatest term between (500) and (600)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 65Hard MathematicsIf in an AP (a_3=3x-4), (a_7=7x-12), and (a_{11}=11x-20), what is (a_{15})?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