Answer:
(a)= option 3
(b)= option 3
Step-by-step explanation:
(A) It is given that a sequence is defined by the recursive function
and 
Now, substituting the value of n=2 in above equation,



Again putting n=3,



Putting n=4,



Putting n=5,



Putting n=6,



Putting n=7,



Hence, option 3 is correct.
(B) The given sequence is :
5, -10, 20, -40, 80.....
Since, the given sequence is GP, therefore
and r=-2
The nth term is given by:

For fifteenth term, put n=15 in above equation, we get

=
=
Hence, the fifteenth term is 81920.
Option 3 is correct.
Answer:
The work done in stretching the spring is 8 lb.ft
Step-by-step explanation:
Given;
Applied force, F = 192 lb
extension of the spring, x = 3 ft
Determine the spring constant from the applied force and extension;

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;
x = 6 inches = 0.5 ft

Therefore, the work done in stretching the spring is 8 lb.ft
<h3>The two lines intersect at (4,8)</h3>
Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)
Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)
Put this together to get the answer (x,y) = (4,8)
Answer:
x = -2, 5.
Step-by-step explanation:
|2x - 3| = 7
2x - 3 = 7
2x = 10
x = 5 or:
2x - 3 = -7
2x = -4
x = -2.
A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)