DidierB488396 DidierB488396
  • 30-10-2022
  • Mathematics
contestada

What's the sum of an infinite geometric series if the first term is 81 and the common ratio is 2∕3 ?A) 243B) 729C) 567D) 135

Respuesta :

NathanialV398471 NathanialV398471
  • 30-10-2022

ANSWER:

A) 243

STEP-BY-STEP EXPLANATION:

We have the formula to calculate the sum to infinity of a geometric series is the following:

[tex]s=\frac{a}{1-r}[/tex]

Where a is the first term and r is the common ratio, therefore, we replace and we are left with:

[tex]s=\frac{81}{1-\frac{2}{3}}=\frac{81}{\frac{1}{3}}=81\cdot3=243[/tex]

The sum of an infinite geometric serie is 243

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