Question

Find the next two terms in the following sequence. 13, -5, -35, -77,...

Answer 1

$13;-5;-35;-77;...\\\\a_n=19-6n^2\\\\a_1=19-6\cdot1^2=19-6=13\\\\a_2=19-6\cdot2^2=19-6\cdot4=19-24=-5\\\\a_3=19-6\cdot3^2=19-6\cdot9=19-54=-35\\\\a_4=19-6\cdot4^2=19-6\cdot16=19-96=-77\\\\a_5=19-6\cdot5^2=19-6\cdot25=19-150=-131\\\\a_6=19-6\cdot6^2=19-6\cdot36=19-216=-197$