Consider the function $y = x^{2} + 1.$ Can it be used to generate an arithmetic function for subsequent values of $x$ ?

Yes. It is possible.

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No.

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Cannot be determined.

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Solution

The correct option is B No.
The given function is $y = x^{2} + 1.$
The equation is not linear.
Hence, it is not possible to generate an arithmetic sequence.

Let's substitute some values of $x$ and obtain the corresponding values of $y .$

x 1 2 3

y 2 5 10

The difference is not a fixed constant value.
Hence, it is not an arithmetic sequence.

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