<h2>
Answer:</h2>
Option: C is the correct answer.
C. 
<h2>
Step-by-step explanation:</h2>
The sequence is given by the explicit formula as:

where
is the nth term of the sequence.
Also, the first term of the sequence is: 
i.e.

Also,

Hence, the recursive formula which represents the same sequence is:
Option: C
Answer:
C
Step-by-step explanation:
Using sum/difference to product identity
• sin x - sin y = 2 cos(
) sin (
)
with x = 4Θ and y = 2Θ
Then
sin(4Θ) - sin(2Θ)
= 2 cos(
) sin(
)
= 2cos(3Θ)sinΘ → C
Answer:
Volume =
cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is 
Rearranging the above equation, we get -

Volume of box is equal to product of base area of box and the height of the box -

Substituting the given area we get -

For maximum volume



Volume of the box
= 
=
cubic centimeter
Well I don't know if I would recommend the blue I would actually would go for the yellow because it is my favorite color so ya she should pick yellow.