IIT JEE , AIEEE Forum - Mathematics , Algebra

pratik17

Let R=(8+3

7)^20 & [R]= greatest integer function

Then which of the following is true?

(a) [R] is even

(b) [R] is odd

(c) R - [R]= 1 - (8+3

7)^ -20

(d) R + [R] = 1 + R^2

rebel

~~~~~~~~~~~~~~~~~~~~~~~hey~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~simple~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~use binomial theorem~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~and conclude~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~hope u got~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~ now kill it ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

pratik17

pls give the entire solution................. how do you plan to get greatest integer into picture by using binomial theorem?

rebel

~~~~~~~~~~~~~~~~~hey~~~~~~~~~~~~~~~~~~~~~~~```
~~~~~~~~~~ sorry too long~~~~~~~~~~~~~
~~~~~~~~~~~~ consult any book ~~~~~~~~~~~~
~~~~~~~~ on binomial theorem~~~~~~~~~~~~~
~~~~~~~~now kill it ~~~~~~~~~~~~~~~~~~~~~~

manvan8580

Ya the method is too long try Tata Magraw you can get it in it..................

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