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Sabe alguien cómo pedirle a geogebra que me construya los elementos de la secuencia a_{n}=\dfrac{n}{n+1}a_{n-1} con a_{1}=2?
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I find the ggb spreadsheet a very useful tool for recursion.
Please have a look at the example file attached below.
In the first column I've put the values of n, in the second one the values of a_n.
The first value of a_n, that is, a_1, is just typed in as it is in the spreadsheet.
For a_2, I have entered the addresses of the cells that contain the values that we use to calculate a_2. (please right click on the cell to see what I have entered).
Now drag down that cell to get the following terms of the sequence.
If you want to view the sequence, select the cells containing data, right click on them, and select Create->List of Points.
I find the ggb spreadsheet a very useful tool for recursion.
Please have a look at the example file attached below.
In the first column I've put the values of n, in the second one the values of a_n.
The first value of a_n, that is, a_1, is just typed in as it is in the spreadsheet.
For a_2, I have entered the addresses of the cells that contain the values that we use to calculate a_2. (please right click on the cell to see what I have entered).
Now drag down that cell to get the following terms of the sequence.
If you want to view the sequence, select the cells containing data, right click on them, and select Create->List of Points.
Please see also the commands Iteration and IterationList.
está bien que GG construya esto de forma iterativa pero quizas te ayude en este caso que si lo he letido bien se reduce a a_n=4/(n+1)
No, mi amigo. No es lo mismo. Yo propongo que el segundo sumando se multiplique por n y ese justamente es el problema con listaiteracion.
Intenta programar mi secuencia (teniendo cuidado de la definición que entregué) y verás la dificultad que conlleva.
unos 4 minutos en hoja de calculo y otro tanto en lista por comprobar la coincidencia
Amigo... t1=1, t2=1, t3=1+3x1=4, t4= 4+4x1=8 etc.
Ves? Es distinta.
ya terminé mis clases por fin
1 minuto en el cambio de orden de los elementos usados
y por favor no amigo, simplemente usuario del GG
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