Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation
</u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by

This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>
Answer:
The height is 2 units
Step-by-step explanation:
Find the area of the base of the square pyramid
we know that
The volume of the square pyramid is equal to

where
B is the area of the base and H is the height of the pyramid
we have


substitute in the formula and solve for B


step 2
Find the height of the square prism
we know that
The volume of the square prism is equal to

where
B is the area of the base and h is the height of the prism
we have


substitute in the formula and solve for h


Answer: 
Step-by-step explanation:
Since we have given that

And we know that θ is in the Fourth Quadrant.
So, Except cosθ and sec θ, all trigonometric ratios will be negative.
As we know the "Trigonometric Identity":

It must be negative due to its presence in Fourth quadrant.
Hence, 
A is the correct answer to this problem
Answer:
90
Step-by-step explanation: