If the sum of the first 15 terms of the series \({\left( {\frac{3}{4}} \right)^3} + {\left( {1\frac{1}{2}} \right)^3} + {\left( {2\frac{1}{4}} \right)^3} + {3^3} + {\left( {3\frac{3}{4}} \right)^3} + \ldots {\rm{\;}}\) is equal to 225k, then k is equal to

If the sum of the first 15 terms of the series \({\left( {\frac{3}{4}

1.	If the sum of the first 15 terms of the series \({\left( {\frac{3}{4}} \right)^3} + {\left( {1\frac{1}{2}} \right)^3} + {\left( {2\frac{1}{4}} \right)^3} + {3^3} + {\left( {3\frac{3}{4}} \right)^3} + \ldots {\rm{\;}}\) is equal to 225k, then k is equal to
A.	108
B.	27
C.	54
D.	9
Answer» C. 54

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If the sum of the first 15 terms of the series \({\left( {\frac{3}{4}} \right)^3} + {\left( {1\frac{1}{2}} \right)^3} + {\left( {2\frac{1}{4}} \right)^3} + {3^3} + {\left( {3\frac{3}{4}} \right)^3} + \ldots {\rm{\;}}\) is equal to 225k, then k is equal to

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