Question

/question in attachment.

Answer 1

Answer:

tn= (n-1)*d

Step-by-step explanation:

Answer 2

Answer:

$a_n=200\cdot \frac{1}{4}^{(n-1)}$

Step-by-step explanation:

Since the sequence begins with 200 and each next term in the sequence is a quarter of the previous one, an equation for this would be:

$a_n=200\cdot \frac{1}{4}^{(n-1)}$

You can see that this works by testing out some scenarios. For instance, the third term in the sequence:

$a_3=200\cdot \frac{1}{4}^{(3-1)}= 200\cdot \frac{1}{16}=12.5$

Hope this helps!