The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
d = (-36 - -21) / (6 - 1) = -3
The arithmetic mean is calculated by adding -3 to the term prior to it.
a2 = -21 + -3 = -24 a3 = -24 + -3 = -27
a4 = -27 + -3 = -30 a5 = -30 + -3 = -33
Thus the four arithmetic means are -24, -27, -30, and -33.
Green,yellow,and black = 3 probabilities if choose randomly
Next, since there are two concerts lets multiply 3 times 2 which will equal 6 for the denominator.
Third, since there are going to be one color chosen two times in a row it'll be 2 for the numerator.
It's going to be 2/6 but simplified it'll be 1/3.
Standard form;
(x - 2)² + (y - 6)² = 49
the center-radius form of the circle equation is in this format;
(x - h)² + (x - k)² = r²
so the center of the circle is; (2, 6)
so the radius of the circle is; 7
hope that helps, God bless!