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welcome ladies and gentlemen lets go ahead and share how the two terms series and sequences are related so how our series and sequences related Kobe series is absolutely and so is the sum of the terms in a sequence thank you the sum of the first n terms in an arithmetic sequence with first term a sub one constant difference D is given by I dont know that we need all those but we do know an arithmetic sequence right has terms that are separated by the constant difference d wheres my partial sum s event given by for some of in terms from an arithmetic sequence okay thank you ten times the sum of a sub one was a sub n thats the first term in the last term in the sequence that Im summing and then all over to right here if you had the same thing as Sophia have that great and then lastly to something firsthand terms in a geometric sequence with first term G sub 1 and constant ratio R that multiplier between successive terms is given by what or do you have for that Brandon g 1 times 1 mi