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The hawaiian alphabet has 12 letters. how many permutations are posible for each number of letters?

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.