Seutas tali dipotong mnjdi 5 bgian,msing”mmbntuk barisan geometri.jika tli trpndek 4cm dan trpnjang 3,24m,panjang tli smula adalah..

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Seutas tali dipotong mnjdi 5 bgian,msing”mmbntuk barisan geometri.jika tli trpndek 4cm dan trpnjang 3,24m,panjang tli smula adalah..

u1 = a = 4cm \ u5 = 3.24m = 324 : cm

{r}^{5 - 1} = frac{u5}{u1} \ {r}^{4} = frac{324}{4} \ {r}^{4} = 81 \ r = sqrt[4]{81} \ r = 3

sn = frac{a( {r}^{n} - 1 )}{r - 1} \ s5 = frac{4( {3}^{5} - 1)}{3 - 1} \ s5 = frac{4(243 - 1)}{2} \ s5 = frac{4(242)}{2} \ s5 = frac{968}{2} \ s5 = 484

jadi panjang tali semula adalah 484 cm