Answer:
Ah! Geometric sequences, Eh? Sucks I know....
Step-by-step explanation:
So first, we need to find the factor of this(been a while since I have done this)
[tex]r=\frac{24}{48} =\frac{1}{2}[/tex]
So we found the relationship! Now we find the entire equation.
So we know the first term, 96, so let's use it!
[tex]a_{n} =96*(\frac{1}{2})^{n-1}[/tex]
So there is the equation!
Now to find the 10th term.
[tex]a_{n} =96*(\frac{1}{2})^{n-1}\\a_{10} =96*(\frac{1}{2})^{9}\\a_{10} =96*\frac{1}{2^{9} } \\a_{10}=0.1875[/tex]
There you have it!
Hope this Helps!
P.S. Stay Safe!
