Find the sum of the first five terms of the geometric series in which a2 is -12 and a5 is 768.

  615

Step-by-step explanation:

The ratio of the given terms can be used to find the common ratio between terms:

  a5/a2 = (a1·r^(5-1))/(a1·r^(2-1)) = r^3 = 768/-12 = -64

  r = ∛-64 = -4

So the first term is ...

  a1 = a2/r = -12/-4 = 3

And the first 5 terms of the series are ...

  3 + (-12) + (48) + (-192) + 768 + ...

The sum of the first 5 terms is 615.

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24