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PLEASE HELP MEEEEEEEEEEEEEEEEEEE



A value in a sequence is 2 times the previous value, like this: {8,16,32,64}.
How would this sequence be represented as a recursive equation?

a1=8 and an=2a1
a1=8 and an=2n
a1=8 and an=a1+2n
a1=8 and an=2an−1

Respuesta :

bhuvna789456

This sequence be represented as a recursive equation by a1=8 and an=2a1

Step-by-step explanation:

  • 'Recursive' refers to the repetition of a specific process in a sequence.
  • The given sequence is {8,16,32,64}.
  • If the value is 2 times the previous value, then an=2a(n-1)

Let a1=8,

then a2 = 2a(2-1)

⇒ a2 = 2a1

⇒ a2 = 2(8)

⇒ a2 = 16

Similarly,

For a2=16,

⇒ a3 = 2(a2)

⇒ a3 = 2(16)

⇒ a3 = 32

For a3=32,

⇒ a4 = 2(a3)

⇒ a4 = 2(32)

⇒ a4 = 64

∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.

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