# SOLUTION: Question: Find the sum of the grometric series: 16, -4, 1, -1/4... (A) 4415/320 (B) 4095/320 (C) 64/5 (D) 16,383/1280 Im stuck- thanks for your help!

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: Question: Find the sum of the grometric series: 16, -4, 1, -1/4... (A) 4415/320 (B) 4095/320 (C) 64/5 (D) 16,383/1280 Im stuck- thanks for your help!      Log On

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Sequences-and-series Question 31624: Question: Find the sum of the grometric series: 16, -4, 1, -1/4... (A) 4415/320 (B) 4095/320 (C) 64/5 (D) 16,383/1280 Im stuck- thanks for your help!Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!SUM OF A G.P.TO INFINITE TERMS,WHERE COMMON RATIO IS LESS THAN 1 IS GIVEN BY S=A/(1-R)...WHERE A IS FIRST TERM AND R = C.R. HERE A=16 AND R = -4/16=-1/4 S=16/(1+1/4)=16/(5/4)=16*4/5=64/5