Mathematics
Finding the $n$th term of an AP
Practice questions
In an AP, (a_{12}=75) and (a_{36}=219). What is (a_{24})?If the (25)th term of the AP (t-8,t-1,t+6,\ldots) is (230), what is the value of (t)?If (a_n=11n-5), what is (k) for (a_{4k}-a_k=198)?An arithmetic progression has first term 11 and common difference -4. Which of the following expressions correctly represents its nth term?If (a_n=17n+c) and (a_7=145), what is (r) when (a_{3r}=757)?What is the last term in the AP of positive multiples of (23) less than (2000)?The AP of multiples of (19) greater than (700) is (703,722,741,\ldots). What is its (24)th term?In an AP, (a_6+a_{18}=156) and (a_{10}+a_{22}=252). What is (a_{34})?Which of the following conditions is necessary and sufficient to identify a sequence as an arithmetic progression (AP) from its nth term \(a_n\)?In the AP (35,46,57,\ldots), how many terms are less than (600)?For the arithmetic progression whose nth term is \(a_n=7-3n\), which pair correctly gives its first term and common difference?If in an AP (a_4=20) and (a_9+a_{14}=160), what is (a_{28})?In the AP (-38,-25,-12,\ldots), what is the first term greater than (300)?If (a_n=6n+q) and (a_{5n}-a_n=216), what is the value of (n)?In an AP, if the 7th and 13th terms are known, which of the following relations is always true for the 10th term?If in an AP (a_{2p}=74), (a_p=26), and the common difference is (6), what is the value of (p)?In an AP, (a_6=23) and (a_{18}=95). Find the value of (a_{33}).If (a_n=kn-7) and (a_{17}-a_5=96), what is (a_{29})?In the AP (53,46,39,\ldots), which is the first term less than (-100)?If the (8)th term of an AP is (x+19) and the (20)th term is (x+91), what is the (35)th term in terms of (x)?