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Lorico [155]
3 years ago
14

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

Mathematics
1 answer:
yan [13]3 years ago
8 0
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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