mexi1985gr mexi1985gr
  • 01-04-2020
  • Mathematics
contestada

The first term in a geometric series is 5 and the common ratio is 2.
Find the sum of the first 10 terms in the series.

Respuesta :

jimrgrant1 jimrgrant1
  • 01-04-2020

Answer:

5115

Step-by-step explanation:

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 5 and r = 2, thus

[tex]S_{10}[/tex] = [tex]\frac{5((2)^{10}-1) }{2-1}[/tex] = 5 × (1024 - 1) = 5 × 1023 = 5115

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