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El segundo término de una progresión geométrica es 45 y el quinto es 32,805 calcula el primer término, construye la progresión y calcula la suma de ellos

 Apr 25, 2021
 #1
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According to Google Translate, the problem reads (según Google Translate, el problema dice): 

 

The second term of a geometric progression is 45 and the fifth is 32,805 calculate the first term, construct the progression and calculate the sum of them.

 Apr 26, 2021
 #2
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Let's say that the first term is "a", and the common ratio is "x".

 

Then the sequence is: \(a,ax,ax^{2}, ax^{3},...\).

The sequence will go on forever, and given that they are positive integers, I do not think it is possible to find the sum.

However, we can find the first term. We know that the second term is 45 and the fifth term is 32805, so:

\(ax=45\) and \(ax^{4}=32,805\).

From this, we can find x=27 and a=5/3.

 

(You might need Google Translate to understand)

(Es posible que necesite el Traductor de Google para comprender)

 Apr 26, 2021

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