Question

Guided Practice

Answer 1

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)

$r=\frac{24}{48} =\frac{1}{2}$

So we found the relationship! Now we find the entire equation.

So we know the first term, 96, so let's use it!

$a_{n} =96*(\frac{1}{2})^{n-1}$

So there is the equation!

Now to find the 10th term.

$a_{n} =96*(\frac{1}{2})^{n-1}\\a_{10} =96*(\frac{1}{2})^{9}\\a_{10} =96*\frac{1}{2^{9} } \\a_{10}=0.1875$

There you have it!

Hope this Helps!

P.S. Stay Safe!