Q:

Select the correct answer.what is the value of (4 x (1/2)-1).What is the value of t=1​

Accepted Solution

A:
For this case we must substitute the values t = 1,2,3 in the given series:For [tex]t = 1:[/tex][tex]4 * (\frac {1} {2}) ^ {t-1} = 4 * (\frac {1} {2}) ^ {1-1} = 4 * (\frac {1} {2})^{0} = 4 * 1 = 4[/tex]For [tex]t = 2[/tex]:[tex]4 * (\frac {1} {2}) ^ {t-1} = 4 * (\frac {1} {2})^{2-1} = 4 * (\frac {1} {2})^{1} = 4 * \frac {1} {2} = 2[/tex]For [tex]t = 3[/tex]:[tex]4 * (\frac {1} {2}) ^ {t-1} = 4 * (\frac {1} {2})^{3-1} = 4 * (\frac {1} {2})^2 = 4 * \frac {1} {4} = 1[/tex]We add:[tex]4 + 2 + 1 = 7[/tex]So, the value is 7.Answer:Option C