Answer: X=15
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!! :)
Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
The increase is $5000-$4000=$1000. The ratio of this increase to the original price is
$1000
-------- = 1/4 (no units of measurement here)
$4000
8 3/8 would be the answer because first off you would have to find the 8th of the 1/2 and 1/4. Then after you get all of them then you would add them together which would be 8 3/8.