Estimating the order of recursive equation solutions

[renesil]

I have to estimate the order of recursive equation solutions and I'm not sure if I do it correctly, actually I'm pretty sure I'm doing it wrong. Heres how I do it:

T(n) = 7T(n/7)+7n+113
a=7, b=7, c=7n+113
x=log(7)7 =1
n^x=n^1 = n
n = θ(7n+113)

but that's wrong according to WolframAlpha. Could someone confirm that it's right or wrong, and if so, correct me with some explanation? I would be very grateful. Thank you!

 

[pka]

Why don't you follow posting instructions?
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