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Sagot :

Answer:

answer is option B since they are in GM

Answer:

[tex]\text{b. }786,432[/tex]

Step-by-step explanation:

The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].

What we know:

  • [tex]a_1[/tex] is 3
  • [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)

Substituting given values, we get:

[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]