Answer:
Archimedes was the first to derive this formula.
Step-by-step explanation:
Given:
The sequence is 8, 10, 12.5, 15.625,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
8, 10, 12.5, 15.625,...
Here, the first terms is 8.
![\dfrac{10}{8}=1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B8%7D%3D1.25)
![\dfrac{12.5}{10}=1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B12.5%7D%7B10%7D%3D1.25)
![\dfrac{15.625}{12.5}=1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B15.625%7D%7B12.5%7D%3D1.25)
The common ratio is 1.25. So, the given sequence is a geometric sequence.
The explicit formula for a geometric sequence is:
![a_n=ar^{n-1}](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D)
Where, a is the first term and r is the common ratio.
The explicit formula for the given geometric sequence is:
![a_n=8(1.25)^{n-1}](https://tex.z-dn.net/?f=a_n%3D8%281.25%29%5E%7Bn-1%7D)
Therefore, the correct option is A.
Answer:
<h2>2.14367............. is a irrational number.</h2>
Answer:
shift right then stretch vertically
Step-by-step explanation:
A
Answer:
B. side-angle-side
Step-by-step explanation:
You are given that side SR matches its counterpart; angle SRT matches its counterpart; and you know side ST matches its counterpart, because they are the same segment.
Hence, you have two matching sides and the angle between them. This set of side-angle-side lets you invoke the theorem that matches that name.