JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of

n

terms of the series

\frac{5}{1.2} \cdot \frac{1}{3}+\frac{7}{2 \cdot 3} \cdot \frac{1}{3^2}+\frac{9}{3.4} \cdot \frac{1}{3^3}+\frac{11}{4.5} \cdot \frac{1}{3^4}+\ldots

. is:

View answer and explanation

Correct option: A

1-\frac{1}{n+1} \cdot \frac{1}{3^n}

The correct answer is A (

1-\frac{1}{n+1} \cdot \frac{1}{3^n}

) because the sum of the series can be simplified and expressed in this form by decomposing the general term.

More Questions from SEQUENCE OF SERIES

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

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{x^2},{b^2},{y^2}

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y=x-2

\sum\limits_{{i=0}}^{2012} a_i

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}