Step 1:
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The statement is
.
\
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Condition I:
\\
\
First show that, the above formula is true, when
.
Left hand side
.
Right hand side
.
\
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The statement is true for
.
\
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Condition 1 of the Principle of Mathematical Induction holds.
\Step 2:
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Condition II :
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\
\
Assume that
holds for some
, and determine whether the formula then holds for
.
\
\
\
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Assume that,
for some
........equation(1).
\
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Now we show that,
\
for some
.
\
\
Left hand side
from equation(1)
\

Thus, Condition II also holds.
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The statement is true for all natural numbers.
\Solution:
\The statement is true for all natural numbers.