nomunbiligm
nomunbiligm nomunbiligm
  • 24-06-2021
  • Mathematics
contestada

Please Helppp!! 50 Points

Compute the sum

Please Helppp 50 Points Compute the sum class=

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chibunduoyibe
chibunduoyibe chibunduoyibe
  • 24-06-2021

10235

I just typed it in a calculator

the answer is in the above image

Ver imagen chibunduoyibe
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devishri1977
devishri1977 devishri1977
  • 24-06-2021

Answer:

Step-by-step explanation:

5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)

Sum of geometric series = [tex]a*\frac{r^{n}-1}{r-1}[/tex]

a -> first term = 1

r- ratio = 2

n --> number of terms = 11

5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)=

 [tex]5*[1*\frac{2^{11}-1}{2-1}]\\\\=5 *[1*(2048-1)]\\\\= 5 * 2047\\= 10235[/tex]

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