JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

t_n=\frac{1}{4}(n+2)(n+3)

for

n=1,2,3, \ldots

, then

\frac{1}{t_1}+\frac{1}{t_2}+\frac{1}{t_3}+\ldots .+\frac{1}{t_{2020}}=

View answer and explanation

Correct option: D

\frac{8080}{6069}

Option D (

\frac{8080}{6069}

) is correct because it is the result of telescoping the series and simplifying the expression.

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})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

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

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

y=x-2

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

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

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

A P

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G P

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\frac{3}{4}