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okay so here weve got a sum and we want to rewrite it using summation notation so we want to write something like this where we have a sigma we have k equals some number theres going to be a number up here and theres going to be our you know whatever whatever our expression is here so we can kind of just look at this a little bit and maybe build it as we go uh so we should notice a pattern right thats thats really the big thing here is pattern recognition do we do we see whats going on the first thing that jumps out to me at least is that these values in the sum are going back and forth between positive and negative positive negative positive negative positive so that indicates to me that we need to involve some power of negative one right if were going to start at k equal one this doesnt exactly matter but i think all of them that i looked at in webassign they all have a 1 down here so if we put a 1 down here we need to say what the power needs to be to make it be a positive