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# Extending arithmetic sequences

CCSS.Math:

## Video transcript

we're told the first four terms of an arithmetic sequence are given so it goes from negative eight to negative 14 to negative 20 to negative 26 what is the fifth term in the sequence we just need to figure out the next term well an arithmetic sequence each each successive term is separated by the same amount so when we go from negative 8 to negative 14 we went down by 6 and then we go down by 6 again to go to negative 20 and then we go down by 6 again to go to negative 26 and we're going to go down by 6 again to get to negative 32 negative 32 let's do a couple more of these the first five terms of the sequence are given what is the sixth term let's see to go from 2 to negative 1 you subtracted 3 2 minus 3 is negative 1 negative 1 minus 3 is negative 4 negative 4 minus 3 is negative 7 negative 7 minus 3 is negative 10 and so negative 10 minus 3 is negative 13 so hopefully that gives you the hang of things