Register

CAT 2008 | Question: 08

• edited by
1,649 views
0 0 votes

Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots  + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$

  1. $2008 - \frac{1}{2008}$

  2. $2007 - \frac{1}{2007}$

  3. $2007 - \frac{1}{2008}$

  4. $2008 - \frac{1}{2007}$

  5. $2008 - \frac{1}{2009}$

1 Answer

Voting & Accepting an answer helps improve the community
← Previous · CAT 2008 | Question:...Next → · CAT 2008 | Question:...
← Previous in category · CAT 2008 | Question:...Next in category → · CAT 2008 | Question:...
Position:
Show:

Related questions

0 0 votes
2 answers 2 answers
2.6k
2.6k views
go_editor asked Nov 28, 2015
2,632 views
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
0 0 votes
1 1 answer
1.8k
1.8k views
go_editor asked Apr 30, 2016
1,845 views
CAT 2008 | Question: 11
Let $f(x) = ax^2 + bx +c$, where $a, b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2)$ and that $3$ is a root of $f(x)=0$.What is the val...
0 0 votes
1 1 answer
3.8k
3.8k views
go_editor asked Apr 30, 2016
3,762 views
CAT 2008 | Question: 37
Answer the following question based on the information given below.The bar chart shows the revenue received, in million US Dollars (USD), from subscribers to a particular...
2 2 votes
1 answers 1 answer
2.6k
2.6k views
go_editor asked Nov 29, 2015
2,641 views
CAT 2008 | Question: 25
suppose, the seed of any positive integer $n$ is defined as follows:seed$(n) = n,$ if $n < 10$ $=$seed$(s(n)),$ otherwisewhere $s(n)$ indicates the sum of d...
0 0 votes
0 0 answers
1.5k
1.5k views
go_editor asked Nov 29, 2015
1,497 views
CAT 2008 | Question: 24
Rahim plans to Drive from city $\text{A}$ to station $\text{C}$, at the speed of $70$ km per hour, to catch a train arriving there from $\text{B}$. He must reach $\text{C...