Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.
Therefore the common ratio is 6.
The square root of a whole number will be rational if the whole number is a perfect square (i.e 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 etc) and irrational otherwise.
Rational number is a number that can be described as m/n
so a fraction can be a rational number, 0.8=4/5
Irrational numbers can't be written as a fraction
The part about the number having to be a perfect square is still correct, if it's not a prefect square than it will just keep going(a decimal that never ends)
for example the square root of 0.64 is 0.8
and the square root of 10 is 3.162277...
as you can see the 0.64 one ends and is rational, whereas the 10 one just keeps going and is irrational.
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Answer:
Exponential
Step-by-step explanation:
I have worked with this functions before.
