Ageometric sequence is defined recursively by an=5an-1. the 1st term of the sequence is 0.45. which of the following is the explicit formula for the nth term of sequence?

= 0.45

Step-by-step explanation:

the n th term of a geometric sequence is

=

where r is the common ratio and the first term

here = 0.45 and r = 5, hence

= 0.45 ← explicit formula

d

gimmee one of those gold crowns!

~coco

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is