Find the value of the&

Question

Find the value of the following expression up to four places of decimals.

`[ 1 + (1)/(1xx2) + (1)/(1 xx 2 xx4) + (1)/(1 xx 2 xx 4xx8) + (1)/(1xx2xx4xx8xx16)]`

Options:

A . 1.6414

B . 1.6415

C . 1.6416

D . 1.6428

Answer: Option C

Given expression = `(2xx4xx8xx16 + 4xx8xx16 + 8xx16 + 16 +1)/(2xx4xx8xx16)`

=`(1024 + 512 + 128 +16 + 1)/(1026)` = `1681/1024`= 1.6416

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