the value of blank is 23.
Given series is,
8,15,27,_,20
We have to find the blank number.
Let the no. be x.
Since on observing the above series we find that the ratio of 15 to 8 is equal to the ratio of 27 to 15.
Hence, [tex]\frac{15}{8} =\frac{27}{15}=1.8[/tex]
This follows for the remaining terms also,
So, [tex]\frac{x}{27} =\frac{20}{x}[/tex]
[tex]x^{2} =20\times27\\x=\sqrt{540} \\x=23.23[/tex]
since, 23.23 is not a whole number so we take here 23.
Hence the value of blank is 23.
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