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
You should try both points
put x=5/2 and y=3
5-2=3
the first one is on the graph
put x=3/2 and y=20
3-40/3≠3
the second one is not on the graph
Answer:
x = 62.23 ft
y = 47.67 ft
Step-by-step explanation:
It was marked down 1/4 of the original price to $128. That means $128 is equal to 3/4 of the original price. So the original price would be 4/3 of $128. I get $170.67 (rounded to the nearest cent).
Answer:
Dagmar gets paid a total of $683.43 for completing 209 widgets that week.
Step-by-step explanation:
$3.27*209 widgets = $683.43
