Answer:

Step-by-step explanation:
Given


Required
Determine the height at the third rebound
At first rebound;

Second rebound

Third rebound

Hence; the equation is:

Solving further;

Answer:
idturursurzrxixtiti yyfffdruh
Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.

And we solve from there:

So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]
Answer:
for all n>0,
Step-by-step explanation:
Let
be the sequence described.
A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that
forr all n>0.
To find r, note that

Similarly


Thus
for all n>0, and