Answer:
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:
In which 
is the first term and 
is the common ratio.
A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.
This means that:
Then
First 5 terms:
Find the total distance the ball has travelled after it hits the ground the 5th time.
The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.
Zero × anything is zero, so no... you'll never see 0x. If for some reason you do, just rewrite the equation without it... because it's zero. :)
We are given:
Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:
Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:
Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.
When we divide, our answer is:
