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JannLangon706
JannLangon706 JannLangon706
  • 13-07-2015
  • Mathematics
Answered

Find S20 for the geometric series 4 + 12 + 36 + 108 + … 5,034,043,187 5,123,498,245` 6,973,568,800 7,321,089,348

Verified Answer :

tuiodasilva
tuiodasilva tuiodasilva
  • 13-07-2015

a_{1} = 4
a_{2} = 12

a_{2} = a_{1}q
12 = 4q
q = 3

S20 = a_{1}
\(\frac{(q^{20}-1)}{(q-1)}\)

S20 = 4\(\frac{(3^{20}-1)}{3-1}\)

S20 = 4
\(\frac{3486784401-1}{2}\)

S20 = 2*3486784400

S20 = 6,973,568,800

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