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Using the expand, guess, and verify method find closed form solutions for the following recurrence relations.
a)
S(1) = 5S(n) = S(n - 1) + 5 for n >= 2
b)
F(1) = 2F(n) = 2*F(n - 1) + 2n for n >= 2
c)
T(1) = 1T(n) = 2*T(n - 1) + 1 for n >= 2
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