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Aneli [31]
4 years ago
12

Solve the equation

0%20%7B5%7D%5E%7Bn%20-%201%7D%20%20%3D%20105" id="TexFormula1" title=" {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105" alt=" {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
BabaBlast [244]4 years ago
8 0
N=2 is the correct answer yes
Nookie1986 [14]4 years ago
4 0

Answer:

n=2

Step-by-step explanation:

Hello, please consider the following.

{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1  n=2

Let me know if you need more details.

Thank you

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9514 1404 393

Answer:

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Step-by-step explanation:

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2 years ago
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Pachacha [2.7K]

Answer:

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Step-by-step explanation:

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ehidna [41]
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