Respuesta :

343 will be your answer

Answer: Thus, Third option is correct.

Step-by-step explanation:

Since we have given that

[tex]1,\dfrac{1}{8},\dfrac{1}{27},\dfrac{1}{64},...............\dfrac{1}{n^3}[/tex]

So, we can see the pattern:

General term of the series is given as

[tex]\dfrac{1}{n^3}[/tex]

So, we just put the value of n = 7, to get the required denominator:

[tex]\dfrac{1}{7^3}=\dfrac{1}{343}[/tex]

Hence, the denominator of the seventh term is 343.

Thus, Third option is correct.