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OpenStudy (anonymous):
What is the sum of a 30-term arithmetic sequence where the first term is 73 and the last term is -101?
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OpenStudy (kainui):
Well you know they're alternating because it's even and starts out positive and ends negative. So you can take the difference of the absolute value of the first and last term and divide by the number of steps in between to see how much it steps by. Then you know every other one is your last term plus that step and multiplied by -1. Add them all up on paper, and there you go, why not?
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