addisoncnix
addisoncnix addisoncnix
  • 19-02-2021
  • Mathematics
contestada

Write an explicit formula for An, the nth term of the sequence 7, 42, 252, ...

Respuesta :

jcherry99
jcherry99 jcherry99
  • 19-02-2021

Answer:

Step-by-step explanation:

This is a geometric progression.

Givens

a1 = 7

r = 6

Formula

a_n = a1 * r^(n - 1)

a_n = 7 (6)^(n - 1)

Sample

Try n = 3

a_3 = 7*(6)^(3-1)

a_3 = 7*(6)^2

a_3 = 7 * 36

.a_3 = 252      which is exactly what it should be.

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