(2+1)(22+1)(24+1)........(22 raised to 10+1)+1 evaluate..plzz xplain..

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Grade 10Differential Calculus

(2+1)(2²+1)(2⁴+1)........(2^{2 raised to 10}+1)+1

evaluate..plzz xplain..

ajinkya bhole

16 Years agoGrade 10

1 Answer

Askiitians Expert Soumyajit IIT-Kharagpur

16 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