Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to [infinity].

The sequence converges to 1

Step-by-step explanation:

Given

Require

Description of the sequence

The given sequence follows:

i.e.

For every term,

In other words,

as the value of n increases, approaches 1

Hence, (c) is true

29 mil

step-by-step explanation:

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