Respuesta :

Considering a geometric sequence, the pattern is given as follows:

1, 2, 4, 8, 16, 32, 64.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The first term and common ratio are given as follows:

[tex]a_1 = 1, q = 2[/tex].

Hence the remaining terms are:

  • [tex]a_4 = 2^{4-1} = 8[/tex]
  • [tex]a_5 = 2^{5-1} = 16[/tex]
  • [tex]a_7 = 2^{7-1} = 64[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

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