ms9657537
ms9657537 ms9657537
  • 03-06-2021
  • Mathematics
contestada

Write an equation for the nth term of each geometric sequence:
5, 10, 20, 40,​

Respuesta :

fichoh
fichoh fichoh
  • 08-06-2021

Answer:

a(n) = 5*2^(n-1)

Step-by-step explanation:

The nth term of a geometric series is given by the relation :

a(n) = ar^(n-1)

Where, a = first term ; r = common ratio ; a(n) = nth term of the series.

Given the series : 5, 10, 20, 40,​

First term, a = 5

Common ratio = a2/ a1 = a3/a2

Common ratio = 10/5 = 20/10

Common ratio = 2 = 2

Hence, nth term =

a(n) = 5*2^(n-1)

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