reagancrocker2053
Answered

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Please help, i already tried and couldn't get it right

Please Help I Already Tried And Couldnt Get It Right class=

Sagot :

semsee45

Answer:

3072

Step-by-step explanation:

General form of a geometric sequence:

  [tex]a_n=ar^{n-1}[/tex]

where:

  • [tex]a_n[/tex] is the nth term
  • a is the first term
  • r is the common ratio

Given values:

  • first term, a = 3
  • common ratio, r = 4

Substitute the given values into the formula to create an equation for the nth term:

[tex]\implies a_n=3(4)^{n-1}[/tex]

To find the 6th term, substitute n = 6 into the equation:

[tex]\implies a_6=3(4)^{6-1}[/tex]

[tex]\implies a_6=3(4)^{5}[/tex]

[tex]\implies a_6=3(1024)[/tex]

[tex]\implies a_6=3072[/tex]

Therefore, the 6th term of a geometric sequence whose 1st term is 3 and whose common ratio is 4 is 3072.

Learn more about geometric sequences here:

https://brainly.com/question/27783194

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