kaylynnrank
kaylynnrank kaylynnrank
  • 14-09-2016
  • Mathematics
contestada

find r for the geometric series s5=244 a1=4 and a5=324

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sqdancefan
sqdancefan sqdancefan
  • 24-10-2018

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

[tex]r=-\sqrt[4]{81}=-3[/tex]

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