Mathematics
Finding the $n$th term of an AP
Practice questions
If the (6)th term of an AP is (x+11) and the (15)th term is (x+65), what is the (27)th term in terms of (x)?In an AP, \(a_{12}=5a_4-6\) and \(a_4=16\). What is \(a_{24}\)?In an AP, \(a_{11}=38\) and \(a_{26}=128\). Which term will be (218)?If \(a_n=kn-8\) and \(a_{19}-a_7=96\), what is \(a_{24}\)?What is the first term greater than (300) in the AP (11,19,27,\ldots)?In an AP, (a_p=29), (a_{p+10}=99), and (p=8). What is (a_{35})?If in an AP \(a_4+a_{14}=98\), what is the value of \(a_9\)?In an AP, (a_3+a_8+a_{13}=156). Find the value of (a_8).If (a_1=19) and (a_{11}=a_1+80), what is (a_{31})?What is the \(34\)th term of the AP \(7,\frac{19}{2},12,\ldots\)?In an AP, (a_{12}=0) and (a_{28}=-96). What is (a_1)?If (a_n=3n+4) and (a_m=91), what is (a_{m+12})?In the AP (112,101,90,\ldots), what is the first term less than (15)?If in an AP (a_{18}=a_6+84), what is the common difference?In an AP, (a_4=18) and (a_{16}=78). If (a_{4r}=138), what is (r)?If in an AP (a_3=3x-4), (a_7=7x-12), and (a_{11}=11x-20), what is (a_{15})?In the AP (20,31,42,\ldots), what is the greatest term between (500) and (600)?In an arithmetic progression, if the terms at two different positions are equal, i.e. \(a_p=a_q\) where \(p\ne q\), which conclusion is necessary?In an AP, (a_2+a_6=50) and (a_{10}=57). What is (a_{22})?If p and q are constants, which of the following forms of the nth term guarantees that the sequence is an arithmetic progression?