If 13+23+...+93=2025, then (0.11)3+(0.22)3+...(0.99)3 will be _________.
A
0.2695
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B
2.695
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C
3.695
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D
0.3695
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Solution
The correct option is B2.695 Given: 13+23+...+93=2025 (0.11)3+(0.22)3+...+(0.99)3=(0.11×1)3+(0.11×2)3+......+(0.11×9)3=(0.11)3[13+23+...93]⇒0.001331×2025=2.695275≈2.695