Use mathematical induction to prove the following.
= 
What will be an ideal response?
Answers may vary. One possibility:
Sn: 
= 
S1: 5 + 9 = 
Sk: 
= 
Sk+1: 
= 
1. Basis step: Since 
= 
= 14 = 5 + 9, S1 is true.
2. Induction step: Let k be any natural number. Assume Sk. Deduce Sk+1.
= 
[5(k + 1) + 9] + 
= [5(k + 1) + 9] + 
= [5(k + 1) + 9] + 
= 
+ 
= 
= 
= 
= 
= 
.
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B. f(x) = 
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