Question

What type of graph represents the sequence given by the explicit formula an = 5 + (n-1)2?

Answer 1

5 + (n - 1)²
5 + (n - 1)(n - 1)
5 + (n² - n - n + 1)
5 + (n² - 2n + 1)
n² - 2n + 1 + 5
n² - 2n + 6 = 0
n = -(-2) +/- √((-2)² - 4(1)(6))
                     2(1)
n = 2 +/- √(4 - 24)
               2
n = 2 +/- √(-20)
              2
n = 2 +/- 2i√(5)
             2
n = 1 + i√(5)
n = 1 + i√(5)        n = 1 - i√(5)

The answer is equal to B.