Jalisa995
Answered

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

AA linear graph that passes through the point (3, 0)
BAn exponential graph that passes through the point (3, 0)
CAn exponential graph that passes through the point (5, 2)
DA linear graph that passes through the point (0, 3)

Verified Answer :

Panoyin

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.

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