Seudónimo Seudónimo
  • 26-04-2021
  • Mathematics
contestada

Consider the following sequence
[tex]1,1,\frac{3}{4} ,\frac{4}{8}[/tex]
find the nth term such that n > 0

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sqdancefan
sqdancefan sqdancefan
  • 27-04-2021

9514 1404 393

Answer:

  2n/2^n

Step-by-step explanation:

It appears that the terms are ...

  [tex]\dfrac{1}{1},\ \dfrac{2}{2},\ \dfrac{3}{4},\ \dfrac{4}{8},\ \dots[/tex]

That is, the numerator is counting numbers, and the denominator is powers of 2.

  [tex]f[n]=\dfrac{n}{2^{(n-1)}}\quad\text{or}\quad f[n]=2n\cdot2^{-n}[/tex]

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