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Answer 1 · 2018-05-02T17:27:16

The right choice is B.

Note that,

# 6/4=9/6=13.5/9=1.5#

#:. 6=4xx1.5,#

# 9=6xx1.5=(4xx1.5)xx1.5=4xx(1.5)^2#.

Likewise, #13.5=4xx(1.5)^3#.

#:. 4+6+9+13.5#,

#=4xx(1.5)^0+4xx(1.5)^1+4xx(1.5)^2+4xx(1.5)^3#,

#=4xx(1.5)^(1-1)+4xx(1.5)^(2-1)+4xx(1.5)^(3-1)#
#+4xx(1.5)^(4-1)#,

#=sum_(k=1)^4 4(1.5)^(k-1)#.

Therefore, the right choice is B.