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
Answer:
The age of a kitten and it’s weight
Temperature and sales of Ice Cream
The number of notebooks bought and the total cost
Step-by-step explanation:
Answer:
whats the question? its a little blurry and hard to see
Step-by-step explanation:
A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.
From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.
Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.
Divide everything by 8 to isolate b and you get that b^2=9.
Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.
Now that we know that a=2 and b=3 just plug them into the equation.
-2(2)+3(3)=?
-4+9=?
5
Sorry about having to use this ^ symbol, the equation maker is not working.
Answer:
6,000 dollars
Step-by-step explanation:
We first need to find out how much it would cost Danielle for a month if she chose the second option
200 + 40 = 240
240 x 30 = 7,200
Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she <em>saved</em>.
7,200 - 1,200 = 6,000
So Danielle saved 6,000 dollars by choosing the first option instead of the second one.
