The series will be:
[tex]4+16+64+.......+2^{50}[/tex]
Hence, Option A is the right answer
Step-by-step explanation:
The series can be fount out by putting the values of i in the expression written with the summation
The expression is:
[tex]2^{2i}[/tex]
while i = 1 to 25
Putting i = 1
[tex]2^{2(1)}\\= 2^2\\= 4[/tex]
Putting i = 2
[tex]2^{2(2)}\\= 2^4\\= 16[/tex]
Putting i = 3
[tex]2^{2(3)}\\= 2^6\\= 64[/tex]
....
Putting i = 25
[tex]2^{2(25)}\\= 2^{50}[/tex]
The series will be:
[tex]4+16+64+.......+2^{50}[/tex]
Hence, Option A is the right answer
Keywords: Summation, Series
Learn more about summation at:
- brainly.com/question/9381080
- brainly.com/question/9532142
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