Question: Define the functiona(n)as follows: ( 5 n= 1 a(n) = {10 n= 2 (2a(n1)+a(n2) n 3 and letS(n)representa(n) <3n. Use either simple or strong induction

Define the functiona(n)as follows:

( 5 n= 1

a(n) = {10 n= 2

(2a(n1)+a(n2) n 3

and letS(n)representa(n)<3n. Use eithersimpleorstronginduction to prove thatS(n)is true for all n3, nN.

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