10. The fifth term and the tenth term of a geometric series are 3125 and 243 respectively. (a) Find the value of common ratio, r of the series.
S-S
(b) Determine the smallest value of n such that < 0.02, where s, is the sum of the
S
first n term and S. is the sum to infinity of the geometric series.

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

the answer is that this is not a function.

a function does not contain exponential powers greater than 1