Answer:
A. [tex]\sum_{i=0}^{4}5^{i}[/tex]
Step-by-step explanation:
We are given the series, [tex]1+5+25+125+625[/tex].
It is required to find expression representing the given series.
As, we have,
[tex]1=5^{0}[/tex]
[tex]5=5^{1}[/tex]
[tex]25=5^{2}[/tex]
[tex]125=5^{3}[/tex]
[tex]625=5^{4}[/tex]
Thus, it can be seen that the power is ranging from 0 to 4.
Hence, the expression representing the series is, [tex]\sum_{i=0}^{4}5^{i}[/tex]
So, option A is correct.
