mivokali
mivokali mivokali
  • 11-05-2022
  • Mathematics
contestada

Find the sum of the following geometric sequences. d) 3 terms a= 16 r=3/4​

Respuesta :

jimrgrant1 jimrgrant1
  • 11-05-2022

Answer:

S₃ = 37

Step-by-step explanation:

given a₁ = 16 and r = [tex]\frac{3}{4}[/tex] , then

a₂ = a₁ × [tex]\frac{3}{4}[/tex] = 16 × [tex]\frac{3}{4}[/tex] = 12

a₃ = a₂ × [tex]\frac{3}{4}[/tex] = 12 × [tex]\frac{3}{4}[/tex] = 9

then

S₃ = a₁ + a₂ + a₃ = 16 + 12 + 9 = 37

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