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Yakvenalex [24]
3 years ago
14

Find the sum of the geometric sequence. 1, 1/2, 1/4, 1/8, 1/16

Mathematics
2 answers:
frutty [35]3 years ago
8 0
1 15/16, after changing everything to a common demoniator you can just add them all together. 16 is the only demoniator that could be used so therefore the numbers change to 16/16, 8/16, 4/16, 2/16, 1/16
dezoksy [38]3 years ago
7 0
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.

1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16

1+ 2 + 4 + 8 + 16 = 31

31/16 = 1 15/16 

Hope this helps!
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What is x+y=10;y=x+10
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[ Answer ]

\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}

[ Explanation ]

  • System Of Equations \bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}

-----------------------------------

  • [Substitute] Y = X + 10

\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}

  • Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

  • Solutions

X = 0

Y = 10

\boxed{\bold{[] \ Eclipsed \ []}}

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