which point lies on the graph of the finite sequence shown? 5, -1, 6, 0, 7, 1, 8\n(-1, 2)\n(0, 5)\n(5…

Explanation:

Step1: Recall sequence - point relationship

In a sequence (a_n), the first - coordinate of a point on its graph represents the position (n) (usually a positive integer starting from 1) and the second - coordinate represents the value of the term at that position (a_n). The sequence is (5, - 1,6,0,7,1,8). The first term ((n = 1)) is 5, the second term ((n = 2)) is - 1, the third term ((n=3)) is 6, the fourth term ((n = 4)) is 0, the fifth term ((n = 5)) is 7, the sixth term ((n = 6)) is 1, and the seventh term ((n = 7)) is 8.

Step2: Check each option

For option A: In the point ((-1,2)), the first - coordinate (n=-1) is not a valid position in a sequence (since positions in a sequence are usually positive integers starting from 1). For option B: In the point ((0,5)), the first - coordinate (n = 0) is not a valid position in a sequence. For option C: In the point ((5,1)), when (n = 5), the term in the sequence is 7, not 1. For option D: In the point ((6,1)), when (n = 6), the term in the sequence is 1.

Answer:

D. ((6,1))