anonymous
  • anonymous
HELP! Use submation notation to write the sum. 3-6+12- . . . +192
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DDCamp
  • DDCamp
First where would it start and end? |dw:1370039224043:dw|
anonymous
  • anonymous
starts at 3 and ends at 192.
DDCamp
  • DDCamp
n increases by 1, but a_n increases by 3 each time. So it would end at 193/3 = 64

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DDCamp
  • DDCamp
Do you know how to make the summation alternate between adding and subtracting?
anonymous
  • anonymous
Hold on, I'm confused. Why does it go 3 minus 6 plus 12 minus.. does that have anything to do with the outcome of the sum? Also, why is it 193/3 when the problem says 192? (maybe it's just a typo, but I want to make sure)
DDCamp
  • DDCamp
Yeah, the alternating +/- is part of the sum. And it would be 192, 193 was a typo. To get the alternating +/-, include (-1)^n-1 in the sum. For odd powers, this will be negative. For even powers, this will be positive.
anonymous
  • anonymous
okay. so where do we go from here?
DDCamp
  • DDCamp
What would you need to do to a_n to make it multiples of 3?
anonymous
  • anonymous
3a_n?
DDCamp
  • DDCamp
Yup, leaving you with the final solution: |dw:1370039826460:dw|
anonymous
  • anonymous
so that's the answer?
anonymous
  • anonymous
@sirm3d is that correct?

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