Use mathematical induction to prove the statement is true for all natural numbers
n
.
16 32 48 dots 16n=8n(n 1)
What is the first step in a mathematical induction proof? Show that
P_(k)
is true. Show that
P_(1)
is true. Show that
P_(0)
is true. Show that
P_(k 1)
is true. Let
P_(n)
be the statement
16 32 48 dots 16n=8n(n 1)
. Write the statement
P_(1)
.
P_(1):16=8*1*(1 1)
(Do not simplify.) Simplify
P_(1)
on the right.
P_(1):16=
?