1 1.2 + 1 2.3 + 1 3.4 +.......+ ......... 1 n . ( n + 1 ) equals Options: A . &nbsp1n(n+1) B . &nbspnn+1 C . &nbsp2nn+1 D . &nbsp2n(n+1)

Answer: Option B : B ( 1 1 - 1 2 ) + ( 1 2 - 1 3 ) + ( 1 3 - 1 4 ) + .........+ ( 1 n - 1 n + 1 ) = 1 - 1 n + 1 = n n + 1

11.2 + 12.3 + 13.4 +.......+ ......... 1n.(n+1) equals

Question

\frac{1}{1.2}

\frac{1}{2.3}

\frac{1}{3.4}

+.......+ .........

\frac{1}{n . (n + 1)}

equals

Options:

A . 1n(n+1)

B . nn+1

C . 2nn+1

D . 2n(n+1)

Answer: Option B
:
B
(

\frac{1}{1}

\frac{1}{2}

) + (

\frac{1}{2}

\frac{1}{3}

) + (

\frac{1}{3}

\frac{1}{4}

) + .........+ (

\frac{1}{n}

\frac{1}{n + 1}

)
= 1 -

\frac{1}{n + 1}

\frac{n}{n + 1}

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