What is the value of the 11th term in the following geometric sequence?

-5, -10, -20, -40

- 5120

Step-by-step explanation:

The first thing is to find the common ratio , since it is a geometric sequence.

common ratio ( r ) = second term / first term

r = -10/-5

r = 2

Using the formula for the nth term of a geometric sequence ;

= a

The 11th term will thus be:

= -5 X

= -5 x 1024

= -5120

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)