Sum of Cubes of a Geometric Series
Difficulty: Medium · Topics: Algebra, Series, Geometric Series
Geometrik qator kublari yig‘indisi
The geometric sequence \a n\ satisfies
Σ n=1^∞a n=2, Σ n=1^∞a n^2=12.
Evaluate Σ n=1^∞a n^3.
\a n\ geometrik progressiya quyidagilarni qanoatlantiradi:
Σ n=1^∞a n=2, Σ n=1^∞a n^2=12.
Σ n=1^∞a n^3 ni hisoblang.