The formula for the sum \(s\) of the first \(n\) terms in a geometric sequence is given by \(s = a \left( \frac{1-r^{n}}{1-r}\right)\), where \(a\) is the initial value and \(r\) is the common ratio.

An online video got 500 views the first day it was posted. For the next 6 days, the views per day increased by 15%. What was the total number of views in the first week?

The formula for the sum \(s\) of the first \(n\) terms in a geometric sequence is given by \(s = a \left( \frac{1-r^{n}}{1-r}\right)\), where \(a\) is the initial value and \(r\) is the common ratio. If a sequence has \(a=10\) and \(r=0.25\),

1. What are the first 4 terms of the sequence?
2. What is the sum of the first 17 terms of the sequence?