Respuesta :
Answer: The required values are
[tex]r=4,~~a_1=0.25~~\textup{and}~~n=5.[/tex]
Step-by-step explanation: We are given a partial sum as follows :
0.25 + 1 + 4 + 16 + 64.
We are to find the values of [tex]r,~~a_1~~\textup{and}~~n.[/tex]
From the given partial series, we note that
the series is a geometric one with first term 0.25 and common ratio calculated as follows :
[tex]r=\dfrac{1}{0.25}=\dfrac{4}{1}=\dfrac{16}{4}=\dfrac{64}{16}=4.[/tex]
Also, since there are 5 terms in the given sum, so the value of n is 5.
Thus, the required values are
[tex]r=4,~~a_1=0.25~~\textup{and}~~n=5.[/tex]
