For the following geometric sequence, find the explicit formula.
{1, -3, 9, }

the explicit formula for given geometric sequence {1,-3,9,..} is

Step-by-step explanation:

We are given the series

1,-3,9,...

the common ratio is:

-3/1 = -3

9/-3 = -3

So, the common ratio in the series is -3

a₁ = 1

The formula used for geometric series is:

Putting values of a₁ and r

So, the explicit formula for given geometric sequence {1,-3,9,..} is

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation: