The correct option is: Option (C)
Explanation:
Given expression:
[tex]\sum_{i=1}^{25} 2^{2i}[/tex]
When i = 1: The answer is [tex]2^{2*1}[/tex] = 4
When i = 2: The answer is [tex]2^{2*2}[/tex] = 16
When i = 3: The answer is [tex]2^{2*3}[/tex] = 64
.
.
When i = 25: The answer is [tex]2^{2*25}[/tex] = [tex]2^{50}[/tex]
Which is the series mentioned in Option C