aphrodite6 aphrodite6
  • 21-05-2021
  • Mathematics
contestada

Find the sum of the first 10 terms in this geometric series.
1+3+9+27+...

Respuesta :

ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 21-05-2021

Answer:

29524

Step-by-step explanation:

The sum of the first  n  terms is  [tex]S_n=a_1\frac{1-r^n}{1-r}[/tex]  where [tex]a_1[/tex] is the first term and r is the common ratio.

For the sequence in this question,  [tex]a_1=1,\,r=3[/tex].

[tex]S_10=(1)\frac{1-3^10}{1-3}=\frac{-59048}{-2}=29524[/tex]

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