(g(1) = 51
lg(n) = g(n-1) + 2
Find an explicit formula for g(n).
g(n) =

9514 1404 393

  g(n) = 2n +49

Step-by-step explanation:

The recursive formula tells you this is an arithmetic sequence with first term 51 and common difference 2. The explicit formula for such a sequence is ...

  an = a1 +d(n -1) . . . . first term a1, common difference d

Using the sequence values, we have ...

  g(n) = 51 +2(n -1)

  g(n) = 2n +49 . . . . . simplified

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