Mathematics
Finding the $n$th term of an AP
Practice questions
The first three terms of an arithmetic progression are 3, 8, 13. Which of the following expressions represents the nth term of this AP?If in an AP (a_3=14) and (a_7+a_{11}=100), what is (a_{19})?In the AP (-25,-14,-3,\ldots), what is the first term greater than (200)?If (a_n=5n+q) and (a_{4n}-a_n=135), what is the value of (n)?If the nth term of a sequence is \(a_n=pn+q\), where \(p\) and \(q\) are constants, which of the following statements is always true?If in an AP (a_{11}=57) and (a_{24}=148), what is the value of (a_{41})?In an AP, (a_{14}=3a_6+5) and (a_6=23). What is (a_{30})?If \(a_n=5n+s\) and \(a_{18}=112\), what is \(a_{46}\)?In an AP, (a_{4m}=156), (a_m=48), and (d=6). What is the value of (m)?In the AP (73,65,57,\ldots), which is the first term less than (-80)?If the (7)th term of an AP is (x+13) and the (18)th term is (x+90), what is the (32)nd term in terms of (x)?Which is the correct nth-term formula for an AP whose first term is 14 and each successive term is 3 less than the preceding term?Which option gives the rule for an AP whose first term is 14 and common difference is \(-3\)?If an arithmetic progression has first term 4 and common difference -3, which of the following formulas represents its nth term?What is the first term greater than (500) in the AP (17,27,37,\ldots)?In an AP, (a_p=42), (a_{p+12}=150), and (p=9). What is (a_{40})?In an AP, if \(a_p=a_q\) for two distinct positive integers p and q, what type of AP must it be?For positive integers \(n\), which of the following nth-term expressions represents an arithmetic progression (AP)?For the AP whose nth term is \(a_n=7-3n\), which statement is correct?What is the (42)nd term of the AP \(9,\frac{23}{2},14,\ldots\)?