Question

Liczby 16,a,b,c, 1/4 tworza ciag geometryczny o wyrazach dodatnich. znajdz a,b i c

Answer 1

A1=16
a5=1/4

an=a1*q^(n-1)
a5=a1*q⁴
q⁴=a5/a1
q⁴=1/4/(16)=1/64
q⁴=2⁻³*2⁻³
q⁴=2⁻⁶------>q²=2⁻³
q=1/(2√2)=1/4*√2
obliczam
a=a1*q=4√2
b=a*q=2
c=b*q=1/2*√2
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kontrola
a5=c*q=1/4
ODP.
a=4√2
b=2
c=1/2*√2