Mathematics
Finding the $n$th term of an AP
Practice questions
If (a_{20}=6a_8-13) and (a_8=37), what is (a_{32})?In an AP, (a_{18}=135) and (a_{46}=443). What is (a_{32})?If the (31)st term of the AP (v-12,v-3,v+6,\ldots) is (438), what is the value of (v)?If (a_n=15n-8), what is (k) for (a_{6k}-a_{2k}=300)?The nth term of an arithmetic progression is given by \(a_n=7-4n\). Which statement about this AP is correct?What will be the last term in the AP of positive multiples of (37) less than (3600)?The AP of multiples of (31) greater than (1200) is (1209,1240,1271,\ldots). What will be its (29)th term?In an AP, (a_8+a_{24}=320) and (a_{14}+a_{30}=512). What is (a_{46})?If (a_7=36) and (a_{13}=4a_7-12), what is (a_{37})?In the AP (56,73,90,\ldots), how many terms are less than (1500)?Which of the following rules, where n is a natural number, cannot represent the nth term of an arithmetic progression?If in an AP (a_6=42) and (a_{14}+a_{22}=420), what is (a_{38})?In the AP (-68,-49,-30,\ldots), what is the first term greater than (700)?If (a_n=10n+q) and (a_{7n}-a_{3n}=520), what is the value of (n)?If the nth term of an arithmetic progression is \(a_n=4-7(n-1)\), which of the following statements is correct?In an AP (a_{13}=77) and (a_{29}=205). What is the value of (a_{47})?If in an AP (a_{4p}=188), (a_p=56), and (d=11), what is the value of (p)?Which of the following nth-term expressions represents an arithmetic progression (AP) for every positive integer n?In the AP (260,245,230,\ldots), which is the first term less than (-100)?Which of the following rules defines an arithmetic progression (AP) for every positive integer \(n\)?