Question

7. Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that? (1 point)

She showed that an explicit formula could be created.
O She showed that a recursive formula could be created.
She showed that f(n) + f(n-1) was a constant ratio.
O She showed that f(n)-f(n-1) was a constant difference.

Answer 1

Fiona proved that a function, f(x), is an arithmetic sequence by showing that the difference between any two consecutive terms was constant.

Step-by-step explanation:

Fiona proved that a function, f(x), is an arithmetic sequence by showing that f(n) - f(n-1) was a constant difference. In an arithmetic sequence, the difference between any two consecutive terms is constant. By demonstrating that f(n) - f(n-1) had a constant value, Fiona established that the function followed the pattern of an arithmetic sequence.

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