Question

The first three terms of a geometric sequence are as follows.

-10, -30, -90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

Answer 1

-270,810

Explanation:

c.r. r=-30/-10=3

`a_(n) =a_(1)r^(n-1) \\a_(4)=-10(3)^(4-1)\\=-10(3)^3=-10 * 27=-270\\a_(5)=-10 *(3)^(5-1)\\=10 *3^4\\=-810`