Mathematics
Finding the $n$th term of an AP
Practice questions
In an AP, (a_{15}=0) and (a_{37}=-154). What is (a_1)?Which of the following expressions does not represent the \(n\)th term of an arithmetic progression for every positive integer \(n\)?If the nth term of an arithmetic progression is \(a_n=7-3n\), what type of AP is it?If in an AP (a_{22}=a_7+120), what is the common difference?For positive integers, which of the following nth-term formulas represents an arithmetic progression (AP)?If in an AP (a_4=4x-1), (a_9=9x-16), and (a_{14}=14x-31), what is (a_{19})?In the AP (29,41,53,\ldots), what is the greatest term between (700) and (800)?The fifth term of an arithmetic progression is 18 and its common difference is 3. Which of the following expressions represents its \(n\)th term?In an AP, (a_3+a_8=76) and (a_{13}=92). What is (a_{27})?The nth term of an arithmetic progression is \(a_n=12-4n\). Which statement correctly describes this AP?What is the (27)th term of the AP \(-11,\frac{-9}{2},2,\ldots\)?Which of the following expressions for \(a_n\), for every natural number \(n\), can represent the nth term of an arithmetic progression?In an AP, (a_{19}=a_8+99) and (a_8=46). What is (a_{52})?Which option correctly gives the first term and common difference of the AP whose nth term is \(a_n=5-2n\)?In the AP (104,95,86,\ldots), which is the last term greater than (-50)?Which option correctly identifies the arithmetic progression (AP) whose nth term is \(a_n=7-3n\)?A student practises for (36) minutes on the first day and (7) more minutes each day. On which day will the practice time be (218) minutes?If (a_1=8), (d=9), and (a_{3n+2}=197), what is the value of (n)?In an AP, (a_{5n}=205), (a_n=49), and (d=13). What is (n)?Which of the following sequences has an \(n\)th term that represents an arithmetic progression for every positive integer \(n\)?