The sequence is geometric. The infinite series does converge.
Note how dividing any given term by the previous one leads to the same result
-8/12 = -2/3
(16/3) divided by -8 = -2/3
and so on...
So the common ratio is r = -2/3. This proves the sequence is geometric.
Since |r| < 1 is true, this means the infinite series converges to some fixed number.<span />
Adding both equations will eliminate a variable in the system of equations
Step-by-step explanation:
Given equations are:

One of the methods to solve simultaneous linear equations is elimination. In elimination one of the variables is eliminated from the system to find the value of other variable.
In the given equations we can see that the coefficients of y in both equations are same with opposite signs so adding both equations will eliminate the variable y from the system.
Hence,
Adding both equations will eliminate a variable in the system of equations
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:

Step-by-step explanation:

![r = \sqrt[3]{47.77} \\r = 3.63...](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B47.77%7D%20%5C%5Cr%20%3D%203.63...)
X = 2 + 4y....with x being the larger number and y being the smaller number
OR
y = 2 + 4x....with y being the larger number and x being the smaller number