Question

sa se afle suma primelor 30 de zecimale ale urmatoarei fractii 1/2^100

Answer 1

$\dfrac{1}{ 2^{100} } = \dfrac{1}{ (2^{10}) ^{10} } = \dfrac{1}{ 1024^{10}}< \dfrac{1}{ 1000^{10}} = \dfrac{1}{ 10^{30}}=0,000...01$
1/10^30 are 30 zecimale dar 1/2^100<1/10^30 ⇒ suma primelo 30 de zecimale va fi 0.