oblicz a1 i q. a) a5=-1/2 , a10= -16 b) a4=24/100 a6= 96/125 c) a100=17 a253=17
oblicz a1 i q.
a) a5=-1/2 , a10= -16
b) a4=24/100 a6= 96/125
c) a100=17 a253=17
a) a₅=-1/2 ; a₁₀=-16 ; a₁₀=a₅×q⁵; -16=-1/2×q⁵; q⁵=-16/-1/2; q⁵=32; q=2; a₅=a₁×q⁴; -1/2=a₁×16/:16; a₁=-1/32; b)a₄=24/100 ; a₆=96/125; a₆=a₄×q²; 96/125=24/100×q²;/:24/100; q²=96/125:24/100; q²=96/125×100/24; q²=16/5; q=4/√5=4√5/5; a₄=a₁×q³; 24/100=a₁×(4√5/5)³; a₁=24/100:64√5/25; a₁=3/32√5=3√5/160; c)a₁₀₀=17 ; a₂₅₃=17; a₂₅₃=a₁₀₀×q¹⁵³; 17=17×q¹⁵³; q¹⁵³=1; q=1; a₁×q⁹⁹=a₁₀₀; a₁×1=17; a₁=17;