Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is

where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:

comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.

Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
<h2>
Yes, this is a right triangle.</h2>
Step-by-step explanation:
Hypotenuse always have the highest number than base and perpendicular.
Hypotenuse ( h ) = 15
Base ( b ) = 9
Perpendicular ( p ) = 12
Let's see whether the given triangle is a right triangle or not
Using Pythagoras theorem:

Plugging the values,

Evaluate the power

Calculate the sum

Hypotenuse is equal to the sum of perpendicular and base.
So , we can say that the given lengths of the triangle makes a right triangle.
Hope this helps..
Best regards!!
The answer would be one of the following in the photo below....if not do you have a picture you could show me of the possible answers?
(1/4)x = 2
x = 8 x 3 = 24 feet long
(1/4)x = 1
x = 4 x 3 = 12 feet wide
24ft x 12ft = 288ft^2
Answer:
5
Step-by-step explanation:
This line equation is in y = mx + b form m will be the slope
m = 5 parallel line will have same slope = 5