Mathematics
Finding the $n$th term of an AP
Practice questions
What will be the (44)th term of the AP (11,\frac{31}{2},20,\ldots)?In an AP, (a_{20}=0) and (a_{50}=-270). What is (a_1)?The 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?In the AP (221,204,187,\ldots), what is the first term less than (50)?If in an AP (a_{31}=a_9+198), what is the common difference?In an AP, (a_8=52) and (a_{23}=172). If (a_{8r}=292), what is (r)?If in an AP (a_6=6x-5), (a_{13}=13x-33), and (a_{20}=20x-61), what is (a_{27})?In the AP (43,60,77,\ldots), what is the greatest term between (1200) and (1300)?Which of the following formulas represents the \(n\)th term of an AP in which each successive term decreases by 3?In an AP, (a_5+a_{11}=138) and (a_{18}=165). What is (a_{36})?If (a_9=43) and (a_{14}=2a_9+17), what is (a_{34})?What will be the (35)th term of the AP \(-17,\frac{-15}{2},2,\ldots\)?The \(n\)th term of an arithmetic progression is \(a_n=7-2n\). Which option correctly identifies its first term and common difference?In an AP, (a_{25}=a_{10}+180) and (a_{10}=70). What is (a_{65})?Which of the following formulae does not represent the \(n\)th term of an arithmetic progression (AP) for every positive integer \(n\)?In the AP (156,142,128,\ldots), which is the last term greater than (-120)?In a machine, the load is (980) units at the first stage and decreases by (45) units at each next stage. At which stage will the load be (305) units?A student solves (55) questions on the first day and (12) more questions each day. On which day will he solve (367) questions?If (a_1=17), (d=10), and (a_{4n+3}=407), what is the value of (n)?In an AP, (a_{7n}=530), (a_{3n}=146), and (d=16). What is (n)?