Luke invested $69,000 in an account paying an interest rate of 5.1% compounded daily. Assuming no deposits or withdrawals are ma
de, how much money, to the nearest dollar, would be in the account after 19 years?
1 answer:
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You want to prove that
for (presumably) all integers
.
Let's consider some sub-cases.
Suppose
is odd. Then
If
is even, then so is 
, which means you can write 
for some integer 
, and this reduces to 
.
If is odd, the same thing happens; you get that is still even, so 
and you're left again with .
Now assume
is even. Then 
. If 
is even, then you will always be able to write
Meanwhile, if
is odd, then
So you conclude that
for (presumably) all integers
Let's consider some sub-cases.
Suppose
If
If
Now assume
Meanwhile, if
So you conclude that
Step-by-step explanation:
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