WHAT IS A RULE FOR THE SEQUENCE 1.8 , 2.85 , 3.90 , 4.95 , 6
The sequence continues as: 9/5, 57/20, 39/10, 99/20, 6, 141/20, 81/10, 183/20......etc.
Each term can be found as: a(n) = 3/20 (7n + 5) (for all terms given).
it is just adding 1.05 each time
so a=1.8 first term and d (common difference) = 1.08
\(T_n=a+(n-1)d\\ T_n=1.8+1.05(n-1)\\ T_n=1.8+1.05n-1.05\\ T_n=0.75+1.05n\)