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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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) About Me  (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