we can check if a given sequence is geometric or not by checking the terms present in it ,
Let us find ratio of each term with it's previous term
if that ratio comes out same for every two consecutive terms then it is a geometric sequence , otherwise it is not geometric sequence .
Let us work on first one : given is : -1,1,-1,1.............
second term/ first term = 1/-1 = -1
third term/ second term = -1/1 = -1
fourth term / third term = 1/-1 = -1
fifth term/ fourth term = -1/1 = -1
because that ratio is same so it is a geometric sequence .
* let us now work with second sequence .
eE
second term/ first term = -6/-2 = 3
third term/ second term = -18/ -6 = 3
fourth term / third term = -54 / -18 = 3
hence this is also geometric sequence .
Answer : both are geometric sequence .
Essentially, if you want something repeating, you want a 9 in your denominator - 0.22 repeating would be 2/9 or 22/99 and 0.16 repeating would be 16/99. Therefore, 2+16/99 is a mixed number and (198+16)/99=214/99 as a fraction
Answer:
The youngest brother's age is 21 years.
Step-by-step explanation:
Given:
The ages of 3 brothers are consecutive integers.
If the oldest brothers age is decreased by twice the youngest brother age the result is -19
To find the age of the youngest brother.
Solution:
Let the age of youngest broth be =
years
The ages are consecutive integers.
So, age of the next older brother will be =
years
The age of the oldest brother will be =
years
The oldest brothers age is decreased by twice the youngest brother age.
The above statement can be represented as:
⇒ 
Simplifying.
⇒ 
⇒
The result for the above expression = -19.
So, we have:

Subtracting both sides by 2.


Multiplying both sides by -1.
∴ 
Thus, the youngest brother's age is 21 years
Answer:
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Step-by-step explanation:jdndj
Domain is all the x values (2,-1,4,-3)and range is the y values (0,4,2,0)