Use mathematical induction to prove the following.
. . . 
= 
What will be an ideal response?
Answers may vary. One possibility:
Sn: 
. . . 
= 
S1: 
= 
Sk: 
. . . 
= 
Sk+1: 
. . . 
= 
Step 1: Since 
= 
= 1 - 
, S1 is true.
Step 2: Let k be any natural number. Assume Sk. Deduce Sk+1.
. . . 
= 
. . . 
= 
= 
= 
= 
= 
.
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What will be an ideal response?