Answer:
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
where 
is the first term and r is the common ratio;
In this case;
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
Thus, the nth term is
You just swap the ordered pair units around. It’d be (-5, 3)
Given:
To find:
The value of 
.
Solution:
We know that,
It means, we have 
and we need to find the value of 
.
Therefore, the value of is 0.8.
Answer:
22.5 cm
Step-by-step explanation:
In the figure attached the graph of the problem can be seen.
Given the triangles are similar then the next proportion must be satisfied:
13.5/9 = 18/12 = x/15 = 1.5
Isolating x, we get:
x/15 = 1.5
x = 1.5*15
x = 22.5 cm
This isn't my work. Thanks to jbiain.
