Just some random sum
Algebra
Level
3
\[\dfrac { 1\times 2 }{ 3 } +\dfrac { 2\times 3 }{ { 3 }^{ 2 } } +\dfrac { 3\times 4 }{ { 3 }^{ 3 } } +\dfrac { 4\times 5 }{ { 3 }^{ 4 } }+ \cdots = \, ? \]
by
Achal Jain