The 200th term of the arithmetic progression 10 97,94,91,is

Step-by-step explanation:

Given arithmetic progression is 100,97,94,91,

This is an AP(airthmetic progression)

So 200th term =a+(n-1)d

Where

a=100,d=-3

=100+(200-1)(-3)

=100-199×3

=100-597

=-497.

So 200th term is -497.

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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