sallyyuvds sallyyuvds
  • 18-09-2021
  • Mathematics
contestada

the sum of an infinite geometric series is 20, and the common ratio is 0.2. Find the first term of this series

Respuesta :

jimrgrant1 jimrgrant1
  • 18-09-2021

Answer:

a₁ = 16

Step-by-step explanation:

The sum to infinity of a geometric series is

S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]

where a₁ is the first term and r the common ratio , then

[tex]\frac{a_{1} }{1-0.2}[/tex] = 20

[tex]\frac{a_{1} }{0.8}[/tex] = 20 ( multiply both sides by 0.8 to clear the fraction )

a₁ = 0.8 × 20 = 16

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