The first term of a geometric sequence is −4300. The common ratio of the sequence is −0.1.

The equation we'll use is a_n=a₁r^n-1.

a_n is the quantity of the n^th term, a₁ is the first term of the sequence, r is the common ratio, and n is the term you are trying to find.

 

Given:

a₁=-4300

r=-0.1

n=8

 

Substitute:

a_n=(-4300)(-0.1)^8-1

 

Calculate:

a_n=0.00043