I can’t even read it ...
step by step explanation:
Answer:
where the diagram
Step-by-step explanation:
but i guess is true
Question:
Consider the sequence of numbers: ![\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%2C%20%5Cfrac%7B3%7D%7B4%7D%2C%201%5Cfrac%7B1%7D%7B8%7D%2C%201%5Cfrac%7B1%7D%7B2%7D%2C%201%5Cfrac%7B7%7D%7B8%7D)
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function
![f(n + 1) = f(n) + \frac{3}{8} .](https://tex.z-dn.net/?f=f%28n%20%2B%201%29%20%3D%20f%28n%29%20%2B%20%5Cfrac%7B3%7D%7B8%7D%20%20.)
Explanation:
A sequence of numbers are
![\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%2C%20%5Cfrac%7B3%7D%7B4%7D%2C%201%5Cfrac%7B1%7D%7B8%7D%2C%201%5Cfrac%7B1%7D%7B2%7D%2C%201%5Cfrac%7B7%7D%7B8%7D)
Let us first change mixed fraction into improper fraction.
![\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%2C%20%5Cfrac%7B3%7D%7B4%7D%2C%20%5Cfrac%7B9%7D%7B8%7D%2C%20%5Cfrac%7B3%7D%7B2%7D%2C%20%5Cfrac%7B15%7D%7B8%7D)
To find the pattern of the sequence.
To find the common difference between the sequence of numbers.
![\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D-%5Cfrac%7B3%7D%7B8%7D%3D%5Cfrac%7B6%7D%7B8%7D-%5Cfrac%7B3%7D%7B8%7D%3D%20%5Cfrac%7B3%7D%7B8%7D)
![\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B8%7D-%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B9%7D%7B8%7D-%5Cfrac%7B6%7D%7B8%7D%3D%20%5Cfrac%7B3%7D%7B8%7D)
![\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D-%5Cfrac%7B9%7D%7B8%7D%3D%5Cfrac%7B12%7D%7B8%7D-%5Cfrac%7B9%7D%7B8%7D%3D%20%5Cfrac%7B3%7D%7B8%7D)
![\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D-%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B15%7D%7B8%7D-%5Cfrac%7B12%7D%7B8%7D%3D%20%5Cfrac%7B3%7D%7B8%7D)
Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding
to the previous term.
Hence, the sequence is recursive and can be represented by the function
Answer:
x=63.256% 63.3-rounded to the nearest tenth.
Step-by-step explanation: