Mathematics
Finding the $n$th term of an AP
Practice questions
What is the (23)rd term of the AP \(-9,\frac{-7}{2},2,\ldots\)?If the nth term of a sequence is \(a_n=pn+q\), where \(p\) and \(q\) are constants, what type of sequence is it?In an AP, (a_{17}=a_7+60) and (a_7=33). What is (a_{43})?Which of the following sequences does not represent the nth term of an arithmetic progression (AP)?In the AP (85,77,69,\ldots), which is the last term greater than (-35)?In 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?A student studies for (27) minutes on the first day and (6) more minutes each day. On which day will he study for (165) minutes?If (a_1=5), (d=7), and (a_{2n+3}=159), what is the value of (n)?In an AP, (a_{4n}=140), (a_n=32), and (d=6). What is (n)?If \(a_{14}=3a_6+4\) and \(a_6=22\), what is \(a_{22}\)?In an AP, (a_{10}=54) and (a_{34}=174). What is (a_{22})?If the (21)st term of the AP (c-5,c+1,c+7,\ldots) is (139), what is the value of (c)?If (a_n=9n+2), what is (k) for (a_{3k}-a_k=144)?Which of the following formulas represents the \(n\)th term of an AP whose first term is \(-3\) and common difference is \(4\)?Which of the following nth-term expressions represents an arithmetic progression (AP)?What is the last term in the AP of positive multiples of (19) less than (1500)?The AP of multiples of (17) greater than (500) is (510,527,544,\ldots). What is its (19)th term?In an AP, (a_5+a_{15}=100) and (a_9+a_{19}=164). What is (a_{27})?The nth term of an arithmetic progression is \(a_n=7n-3\). Which of the following statements must be true?In the AP (24,33,42,\ldots), how many terms are less than (400)?