Question

Which point lies on the graph of the finite sequence shown?

5, –1, 6, 0, 7, 1, 8

Answer 1

To determine which point lies on the graph of the given finite sequence, we can treat the sequence as a set of ordered pairs where the index represents the \( x \)-value and the sequence value represents the \( y \)-value.

The sequence given is:
\[ 5, -1, 6, 0, 7, 1, 8 \]

We can write this sequence as ordered pairs \((x, y)\), where \( x \) is the index starting from 1. Therefore:
- The first element (5) corresponds to the point (1, 5).
- The second element (-1) corresponds to the point (2, -1).
- The third element (6) corresponds to the point (3, 6).
- The fourth element (0) corresponds to the point (4, 0).
- The fifth element (7) corresponds to the point (5, 7).
- The sixth element (1) corresponds to the point (6, 1).
- The seventh element (8) corresponds to the point (7, 8).

So, the points are:
\[ (1, 5), (2, -1), (3, 6), (4, 0), (5, 7), (6, 1), (7, 8) \]

Each of these points lies on the graph of the finite sequence depicted above.