Mathematics
Finding the $n$th term of an AP
Practice questions
In an AP (a_{29}=a_{12}+255) and (a_{12}=86). What is (a_{72})?Which of the following nth-term rules generates an arithmetic progression (AP)?In the AP (240,222,204,\ldots), which is the last term greater than (-150)?In a test, the value is (1250) units at the first stage and decreases by (55) units at each next stage. At which stage will the value be (260) units?A student solves (64) questions on the first day and (15) more questions each day. On which day will he solve (514) questions?If (a_1=23), (d=14), and (a_{5n+4}=527), what is the value of (n)?In an AP (a_{8n}=810), (a_{3n}=210), and (d=24). What is (n)?Which of the following sequences, given by its general term \(a_n\), does not represent an arithmetic progression for all positive integer values of \(n\)?In an AP (a_{20}=178) and (a_{52}=626). What is (a_{36})?If the (37)th term of the AP (w-15,w-4,w+7,\ldots) is (677), what is the value of (w)?If (a_n=17n-11), what is (k) for (a_{7k}-a_{3k}=408)?If the nth term of a sequence is \(a_n=5-4n\), which of the following statements is correct?What will be the last term in the AP of positive multiples of (41) less than (5000)?The AP of multiples of (37) greater than (1500) is (1517,1554,1591,\ldots). What will be its (31)st term?In an AP (a_{10}+a_{30}=500) and (a_{18}+a_{38}=820). What is (a_{58})?Which of the following nth-term rules represents an arithmetic progression with common difference \(-2\)?In the AP (75,98,121,\ldots), how many terms are less than (2500)?The nth term of an arithmetic progression is \(a_n=7n-3\). Which correctly identifies its first term and common difference?If in an AP (a_7=58) and (a_{16}+a_{25}=638), what is (a_{49})?In the AP (-92,-69,-46,\ldots), what is the first term greater than (900)?