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Arithmetic Sequence Worksheet with Answers PDF  Form

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find the first term and the common difference of an arithmetic sequence if the 10th term is -22 and the 19th term is40 so we know that a sub 10 is -22 and we know a sub 19 is equal to -40 so there's two ways to go about solving this one way is to pretend that a sub 10 is a sub one temporarily by doing this we can determine the common difference D and then come back to original sequence and determine a sub one I showed this method in another video in this video we will show how to determine the first term in the common difference D using a system of equations since we have an arithmetic sequence we know that a subn is equal to a sub1 plus the quantity nus1 * D so if we know that a sub 10 is equal to -22 if we substitute -22 for a subn we know n is 10 let's perform that substitution so we have -22 = a sub 1 plus again n is 10 because we're using a sub 10 here so we have the quantity 10 -1 * D notice how we have an equation with two unknowns and now let's d

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