Question

The geometric sequence bn is defined below. Find b3.
B1 = 54
R= -1/3

Answer 1

Answer:

6

Step-by-step explanation:

hello :

the nth term is : Bn= B1×R^n-1

calculate B3  (when n=3)    R= -1/3   B1 = 54

B3 =54×(-1/3)^(3-1)

B3 =54×(1/9)=6

Answer 2

Knowing about geometric sequences we have that its third term will be given by 6

What is the geometric sequences formula?

Geometric Progression (PG) is a numerical continuity in which the division of a term with its previous one, except the first, will result in a single value, the so-called ratio (q), that is: PG: (a1, a2, a3, a4, ..., an), where q = (a2/a1 = a3/a2 = a4/a3,.

Given that:

• B1 = 54
• R= -1/3

The formula of the term will be:

$Bn= B1*R^n-1$

Calculated the B3 we have:

$B3 =54*(-1/3)^{(3-1)}\\B3 =54*(1/9)=6$

See  more about Geometric sequence at brainly.com/question/11266123