Consider the arithmetic sequence 10,12,14,16 if n is an integer, which of these functions generate the sequence?

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

The nth term of an arithmetic sequence is:

Where, a is the first term, d is the common difference and .

Putting in the above formula, we get

Therefore, the function generates the sequence.

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step-by-step explanation: