Mathematics
Finding the $n$th term of an AP
Practice questions
If in an AP (a_{18}=130) and (d=8), what is (a_4)?On a railway route the first station is at (12) km and each next station is (7) km farther. What is the distance of the (15)th station?In a game (20) points are earned at the first level and each next level gives (6) more points. How many points will be earned at the (18)th level?A library has (32) books on the first shelf and each next shelf has (4) more books. How many books will be on the (25)th shelf?A tank has (240) litres of water in the first hour and (18) litres decrease every hour. How much water will be there in the (9)th hour?In a training plan (40) push-ups are done on the first day and (3) more push-ups are done each day. How many push-ups will be done on the (30)th day?In a rent plan the first month rent is (₹1500) and it increases by (₹75) each month. What is the rent in the (14)th month?If (a_n=13n-6), what is the value of (a_{18}-a_{11})?In an AP (a_{10}=58) and (a_{22}=130). What is the first term?If the (19)th term of the AP (z,z+5,z+10,\ldots) is (112), what is (z)?The (n)th term of the AP (73,68,63,\ldots) is (-12). What is (n)?If (a_8=47) and (a_{15}=103), what is (a_{22})?In an AP \(a=12\) and \(d=\frac{7}{2}\). What is \(a_{15}\)?If (a_n=10-3n), which term will be (-44)?In an AP (a_{13}=65) and (a_{21}=113). What is (a_6)?In the AP (18,27,36,\ldots), (a_n=189). Find the value of (n).If the (r)th term of an AP is (3r-2) and (d=4), what is the ((r+6))th term?If the (5)th term of an AP is (27) and the (14)th term is (90), what is the (20)th term?The AP of multiples of (12) greater than (400) is (408,420,432,\ldots). What is its (18)th term?What is the last term among the positive multiples of (13) less than (600)?