Answer:
Answer: -7
Step-by-step explanation:
Given:
The given sequence is:
![5,-2,-9,...](https://tex.z-dn.net/?f=5%2C-2%2C-9%2C...)
To find:
The recursive formula for
, the nth term of the sequence.
Solution:
We have,
![5,-2,-9,...](https://tex.z-dn.net/?f=5%2C-2%2C-9%2C...)
Here, the first term is 5.
![-2-5=-7](https://tex.z-dn.net/?f=-2-5%3D-7)
![-9-(-2)=-9+2](https://tex.z-dn.net/?f=-9-%28-2%29%3D-9%2B2)
![-9-(-2)=-7](https://tex.z-dn.net/?f=-9-%28-2%29%3D-7)
The common difference is -7.
The recursive formula for the nth term of the sequence is
![a_n=a_{n-1}+d](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2Bd)
Where,
is the common difference.
Putting
in the above formula, we get
![a_n=a_{n-1}+(-7)](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2B%28-7%29)
![a_n=a_{n-1}-7](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D-7)
Therefore, the recursive formula for the nth term of the sequence is
.
Irrational numbers are nonrepeating decimals like 0.1257486...
sqrt(150) is irrational gives nonrepeating decimal
12^2 = 144
sqrt(625) = 25
sqrt(49) .. sqrt(50) .. sqrt(64)
7 .. sqrt(50) .. 8
in between 7 and 8
Answer:
Quadratic
Step-by-step explanation:
Linear equations are straight lines while quadratics are curved in a "u" shape. These points have a vertex and go up on both sides, a quadratic would be able to better fit this since their y values repeat, unlike linear models.