NSEJS 2015 Problem-1

Algebra Level 2

3 4 + 3 28 + 3 70 + 3 130 + ⋯ + 3 9700 = ? \large \dfrac{3}{4} + \dfrac{3}{28} + \dfrac{3}{70} + \dfrac{3}{130} + \cdots + \dfrac{3}{9700} = \ ?


The answer is 0.99.

View wiki
Akshay Yadav by Akshay Yadav , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Siddharth Singh
Nov 24, 2015

The series can be simplified as follows:

⇒ ( 1 − 1 4 ) + ( 1 4 − 1 7 ) + ( 1 7 − 1 10 ) + . . . . . . . . . + ( 1 97 − 1 100 ) \large{\Rightarrow (1-\frac{1}{4})+(\frac{1}{4}-\frac{1}{7})+(\frac{1}{7}-\frac{1}{10})+.........+(\frac{1}{97}-\frac{1}{100})}

⇒ 1 − 1 100 = 99 100 = 0.99 \large{\Rightarrow 1-\frac{1}{100}=\frac{99}{100}=\boxed{0.99}}

15 Helpful 1 Interesting 1 Brilliant 1 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...