SOLUTION: Find the sum of the first 10 terms of the following sequence. −24, −12, −6, ... The numbers go down by multiplication of 1/2. When I tried working this out, I

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum of the first 10 terms of the following sequence. −24, −12, −6, ... The numbers go down by multiplication of 1/2. When I tried working this out, I      Log On


   



Question 857893: Find the sum of the first 10 terms of the following sequence.
−24, −12, −6, ...
The numbers go down by multiplication of 1/2. When I tried working this out, I got -14181/128 and it is telling me it is wrong.

Found 2 solutions by JulietG, MathTherapy:
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let's do it longhand to make certain:
-24 * .5 = -12
-12 * .5 = -6
-6 * .5 = -3
-3 * .5 = -1.5
-1.5 * .5 = -.075
-.075 * .5 = -.0375
-.0375 *.5 = -.01875
-.01875 * .5 = -.009375
-.009375 * .5 = -.0046875
-.0046875 * 5 = -.00234375
Adding the -24 through the -.0046875 equals 46.8853125
.
Your answer is -14181%2F128 which reduces to -110.789025
Not sure how you got that, but you can see that when your first number is 24, it would be difficult to end up with 110.
(check my math)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the sum of the first 10 terms of the following sequence.
−24, −12, −6, ...
The numbers go down by multiplication of 1/2. When I tried working this out, I got -14181/128 and it is telling me it is wrong.

highlight_green%28-+3069%2F64%29, or highlight_green%28-+47%2661%2F64%29
You can do the check!!
If you need a complete and detailed solution, let me know!!
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