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MATH / Express the infinite series…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Express the infinite series 3206+92⋅1032+272⋅1033+⋯\frac{3}{206}+\frac{9}{2\cdot103^2}+\frac{27}{2\cdot103^3}+\cdotsas a terminating decimal.
Plain-text mathematical notation (without MathML)
Express the infinite series (3)/(206)+(9)/(2⋅103²)+(27)/(2⋅103³)+⋯as a terminating decimal.
Original LaTeX notation
Express the infinite series $$\frac{3}{206}+\frac{9}{2\cdot103^2}+\frac{27}{2\cdot103^3}+\cdots$$as a terminating decimal.

level

Level 5

type

Algebra

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Source and history

Official source

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