jaylaj1607 jaylaj1607
  • 25-01-2024
  • Mathematics
contestada

–2, 4, –8, 16, –32, ...

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-01-2024

Answer:

This is a geometric sequence with first term -2 and common ratio -2.

Explicit formula: a_n = (-2)^n

Step-by-step explanation:

4/-2 = -2

-8/4 = -2

This is a geometric sequence with first term -2 and common ratio -2.

a_1 = -2

a_n = -2 × a_n-1

a_1 = -2 = (-2)^1

a_2 = -2 × (-2) = (-2)^2

a_3 = -2 × (-2) × (-2) = (-2)^3

a_n = (-2)^n

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