damarquesross626 damarquesross626
  • 11-04-2022
  • Mathematics
contestada

Find the 14" term
7, 14, 28, 56,

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 11-04-2022

Step-by-step explanation:

it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.

and then I see

7 × 2 = 14

14 × 2 = 28

28 × 2 = 56

ok, so the sequence is created by always multiplying by 2.

a1 = 7

a2 = a1 × 2 = 7 × 2 = 14

a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28

an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)

a14 = 7 × 2¹³ = 7 × 8192 = 57,344

Answer Link

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