Write the next three terms in the arithmetic sequence 6/5 2/3

The 3rd, 4th and 5th terms of this sequence are {2/15, -2/5, -14/15}

Step-by-step explanation:

The difference between 6/5 and 2/3 is 18/15 - 10/15, or 8/15.  Subtracting 8/15 from 6/5 results in 2/3 (this is a check for correctness).  Thus, the common difference is 8/15.  The formula for the nth term of this sequence is thus a(n) = 6/5-(8/15)*(n-1).  

The 3rd term is thus 6/5-(8/15)*(2) = 2/15;

The 4th is 6/5-(8/15)*(3) = -2/5, and

The 5th is 6/5-(8/15)*(4) = -14/15

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2