Our first and last terms are, we know this right over here. The average of the first and the last terms, times the number of terms that we're dealing with. Of variety on the screen, if we're taking the sum of, of the first n terms ofĪn arithmetic sequence or, if we're taking or if we're evaluating theįirst n terms of an arithmetic series, I could say, it's going to be the first term plus the last term divided by 2. We know that if we have, if we are taking the sum of, let me do this in a new color, just to have a little bit So we know how to take the sum of an arithmetic sequence. Each term is 6 more, is a constant amount more than the term before that. So we are dealing right over here, this sum is an arithmetic series. And so each successive term is just 6 more than the term before it. To get to that last term, we add 6 once again. Negative 44 plus 6 is negative 38, and we go all the way to here, we keep adding 6, and to go from 2,038 to 2,044, So the first term here is negative 50, and then we go to negative 44, so the second term is negative 50 plus 6, and then the third So let's work through this together, and let's just thinkĪbout what's going on. Negative 38, all the way, we keep adding all the way Have the sum negative 50 plus negative 44, plus
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