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The series will be:[tex]4+16+64+.......+2^{50}[/tex]Hence, Option A is the right answerStep-by-step explanation:The series can be fount out by putting the values of i in the expression written with the summationThe expression is:[tex]2^{2i}[/tex]while i = 1 to 25Putting 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 answerKeywords: Summation, SeriesLearn more about summation at:brainly.com/question/9381080brainly.com/question/9532142#LearnwithBrainly