4. Write an explicit formula for the sequence 6,2, -2, -6, -10 Then find the 12th term

-38

Step-by-step explanation:

general formula

a + (n-1)(d)

formula for this question

6 + (n-1)(-4)

find d

2-6=-2-2

-4=-4

d=-4

a=6 d=-4

12th term

T12= 6+(12-1)(-4)

= 6 + (-44)

=-38

hope this helps :)

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0