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(2+1)(2 2 +1)(2 4 +1)........(2 2 raised to 10 +1)+1 evaluate..plzz xplain..

(2+1)(22+1)(24+1)........(22 raised to 10+1)+1


evaluate..plzz xplain..

Grade:10

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear Aditya Bhole,

Ans:- Multiply (2-1)  ( two minus one) in both num & den. Then we get

={(2-1)(2+1)(2²+1)................}/(2-1)                                                                                  

={(2²-1)(2²+1)(2^4 +1)................}

=....................

=.....................

=2^11 -1

=2047 (Ans)

 

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SOUMYAJIT IIT_KHARAGPUR

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