yathicha
yathicha yathicha
  • 25-10-2021
  • Mathematics
contestada

if 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?

Respuesta :

Hunter120H
Hunter120H Hunter120H
  • 25-10-2021

Answer:

N= 8

Step-by-step explanation:

Answer Link
devishri1977
devishri1977 devishri1977
  • 25-10-2021

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

[tex]S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}[/tex]

n = 8

Answer Link

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