The redshift of distant galaxy are larger than those of closer galaxies, which indicates that the galaxy is receding at a faster rate.
Reasons:
The size of the universe represented as a scale factor with relation to the redshift can be presented as follows;
[tex]\displaystyle \frac{a}{a_0} =\mathbf{ \frac{1}{1 + z}}[/tex]
Where;
a₀ = The current size of the Universe
a = The size of the early Universe = 5% of a
Therefore;
[tex]\displaystyle \frac{a}{a_0} =5\% = 0.05= \frac{1}{1 + z}[/tex]
[tex]\displaystyle 0.05 = \frac{1}{1 + z}[/tex]
0.05 + 0.05·z = 1
[tex]\displaystyle z = \mathbf{ \frac{1 - 0.05}{0.05} } = 19[/tex]
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