The sum to infinite term of the series 1 + 2/3 + 6/(3²) + 10/(3³) + 14/(3⁴) +..... is

Sequence and Series: JEE Main 2009 Mathematics question

JEE Main 2009 · Annual, Paper 1 · Q5288

JEE Main 2009Annual, Paper 1MathematicsMediumSequence and Series179× since 2002

The sum to infinite term of the series

1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + {{14} \over {{3^4}}} + .....

JEE Main 2009 · Annual, Paper 1 · Q5288

JEE Main 2009Annual, Paper 1MathematicsMediumSequence and Series179× since 2002

The sum to infinite term of the series

1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + {{14} \over {{3^4}}} + .....