Mathematics
Finding the $n$th term of an AP
Practice questions
In an AP, (a_{21}=a_9+132) and (a_9=54). What is (a_{57})?Which of the following sequences has an \(n\)th term that represents an arithmetic progression (AP)?In the AP (121,109,97,\ldots), which is the last term greater than (-75)?In an experiment, the temperature is (760) units at the first stage and decreases by (32) units at each next stage. At which stage will the temperature be (280) units?A student solves (42) questions on the first day and (9) more questions each day. On which day will he solve (276) questions?If (a_1=11), (d=8), and (a_{3n+4}=275), what is the value of (n)?In an AP, (a_{6n}=319), (a_{2n}=95), and (d=14). What is (n)?Which of the following nth-term expressions defines an arithmetic progression (AP) for every positive integer \(n\)?In an AP, (a_{14}=92) and (a_{38}=284). What is (a_{26})?If the (29)th term of the AP (u-9,u-1,u+7,\ldots) is (295), what is the value of (u)?If (a_n=13n-6), what is (k) for (a_{5k}-a_{2k}=234)?Which of the following sequences has an \(n\)th term that represents an AP with a non-zero common difference?What will be the last term in the AP of positive multiples of (29) less than (2500)?The AP of multiples of (23) greater than (900) is (920,943,966,\ldots). What will be its (27)th term?In an AP, (a_7+a_{21}=224) and (a_{13}+a_{27}=368). What is (a_{41})?If (a_6=28) and (a_{11}=3a_6+6), what is (a_{31})?In the AP (42,55,68,\ldots), how many terms are less than (1000)?Which formula is used to identify any term of an arithmetic progression when its first term and common difference are known?If in an AP (a_5=31) and (a_{12}+a_{19}=242), what is (a_{33})?In the AP (-47,-31,-15,\ldots), what is the first term greater than (500)?