Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

What is the sum of the infinite geometric series      1/4 + 1/8 + 1/16 + 1/32+...?

A)1/2

B)1

C)3/2

D)2

E)5/2

3 Answers

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  • 2 months ago
    Favorite Answer

    S∞ = (1/4)/(1 - 1/2)

    i.e. (1/4)/(1/2) = 1/2

    :)> 

  • 2 months ago

     1/4 + 1/8 + 1/16 + 1/32 + ...

     sum_(n=1)^∞ 2^(-n - 1) = 1/2

     Answer choice: 

     A) 1/2

  • rotchm
    Lv 7
    2 months ago

    Hint: a^0 + a^1 + a^2 + .... = 1/(1-a).

    If you un-anon yourself we will detail further. 

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