smlf0525
smlf0525 smlf0525
  • 20-08-2021
  • Mathematics
contestada

Find the 11th term of the geometric sequence 10,20,40

Respuesta :

Аноним Аноним
  • 20-08-2021

Answer:

10, 20, 40

scale factor = x2

10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240

answer = 10,240

Answer Link
mathstudent55
mathstudent55 mathstudent55
  • 20-08-2021

Answer:

10,240

Step-by-step explanation:

First, we find the constant ratio by dividing a number by the previous number.

r = 40/20 = 2

Now we apply the formula for term a_n of a geometric sequence.

a_n = a_1 * r^(n - 1)

a_11 = 10 * 2^(11 - 1)

a_11 = 10 * 2^10

a_11 = 10,240

Answer Link

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