Find the explicit rule for the geometric sequence of 3, -6, 12, -24

The n-th term of this sequence is 3(-2)^(n-1)

Step-by-step explanation:

Term 1 = 3 = 3 X 1 =. 3(-2)^0

Term 2 = -6 = 3 X (-2) = 3(-2)^1

Term 3 = 12 = 3 X (-2) X (-2) = 3(-2)^2

…

The first term is 3, and every subsequent term is the previous term multiplied by -2.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

you can not drow on this

step-by-step explanation: