Find the sum of the series to infinity 1 – 1/3 + 1/32 – 1/33 + 1/34 + … ∞

Find the sum of the series to infinity \( 1 – \dfrac{1}{3} + \dfrac{1}{3^2} – \dfrac{1}{3^3} + \dfrac{1}{3^4} + … ∞\)

Asked by Sakshi | 1 year ago |  61
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Class 11 Maths Sequences and Series         Add Answer

1 Answer

Solution :-

Where, a = 1, r =\(\dfrac{-1}{3}\)

By using the formula,

S∞ =\( \dfrac{a}{(1 – r)}\)

= \(\dfrac{ 1 }{ (1 – (\dfrac{-1}{3}))}\)

= \(\dfrac{ 1}{ (\dfrac{4}{3})}\)

= \( \dfrac{3}{4}\)

Answered by Sakshi | 1 year ago
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