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You want to determine how quickly messages can spread on a social media website. On the first day, you
create a message that is shared with 2 people. On the second day, each of those people share it with 3 people.
On third day, everyone who received the message shares it with 3 more people, and so on. Write an equation
that represents the nth term of the geometric sequence. Then find as.

Respuesta :

The equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

Equations

Given that you want to determine how quickly messages can spread on a social media website, and on the first day, you create a message that is shared with 2 people, and on the second day, each of those people share it with 3 people, and on the third day, everyone who received the message shares it with 3 more people, and so on, to write an equation that represents the nth term of the geometric sequence, the following calculation must be made:

  • 2 x 3 x (3 x (3 x (3 x( 3 x ...)))) = X
  • 2x3x3^N = X
  • 6x3^N = X

Therefore, the equation that represents the nth term of the geometric sequence is 6 x 3^N = X.

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