anonymous
  • anonymous
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -12 and 768, respectively. an = 3 • (-4)n + 1 an = 3 • 4n - 1 an = 3 • (-4)n - 1 an = 3 • 4n
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
As we know Un=Up.r^n-p right?
misssunshinexxoxo
  • misssunshinexxoxo
Which do you believe it is?
anonymous
  • anonymous
honestly i have no clue how to do this

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misssunshinexxoxo
  • misssunshinexxoxo
T(n)=T(1)r^(n-1) => T(1)r=36--------(1) T(1)r^4=2304--------(2) (2)/(1)=> r^3=2304/36=> r=4 From (1), get T(1)*4=36=> T(1)=9 => the general term T(n)=9*4^(n-1)
anonymous
  • anonymous
Hey are you sure you have written the choices correctly ?
anonymous
  • anonymous
can i just plug them in and see which one gives me the 2nd as -12 and the 5th as 768
anonymous
  • anonymous
yea
anonymous
  • anonymous
Well yea thats the only way to solve but none works
anonymous
  • anonymous
@misssunshinexxoxo which choice would it be?
misssunshinexxoxo
  • misssunshinexxoxo
My best answer would be an = 3 • (-4)n - 1 should be good for this
anonymous
  • anonymous
Wait r=-4 and not 4

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