Question

2.5,6.25, 15. 625, 39.6

Tengo que seguir la sucesión
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Answer 1

Respuesta:

Explicación paso a paso:

Buscamos un término general:

$a_{1} = 2.5$

$a_{2} = 6.25$

$a_{3} = 15.625$

$Razo'n : r = \frac{15.625}{6.25} = \frac{6.25}{2.5} = 2.5$

$a_{2} = a_{1} *r = 2.5 * 2.5 = 6.25$

$a_{3} = a_{2} *r = 6.25 * 2.5 = 15.625$

$a_{4} = a_{3} *r = 15.625 * 2.5 = 39.0625$

$a_{5}= a_{4} *r = 39.0625 * 2.5 = 97.65625$

$a_{6} = a_{5} *r= 97.65625 * 2.5 = 244.140625$

...................................

$a_{n} = a_{1} * r^{n-1}$

$La$  $Sucesio'n$ $es:$  $2.5, 6.25, 15.625, 39.0625, 97.65625, 244.140625, ....$