HELP! Use submation notation to write the sum. 3-6+12- . . . +192
Stacey Warren - Expert brainly.com
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First where would it start and end?
starts at 3 and ends at 192.
n increases by 1, but a_n increases by 3 each time. So it would end at 193/3 = 64
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Do you know how to make the summation alternate between adding and subtracting?
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)
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.
okay. so where do we go from here?
What would you need to do to a_n to make it multiples of 3?
Yup, leaving you with the final solution: