Question

Find the 4th term in the sequence with the following definition

Answer 1

-37

Explanation:

`a_(1)=-2\\a_(n)=2a_(n-1)-3\\a_(2)=2a_(1)-3=2(-2)-3=-4-3=-7\\a_(3)=2a_(2)-3=2(-7)-3=-14-3=-17\\a_(4)=2a_(3)-3=2(-17)-3=-34-3=-37`