Question

PLEASE HELP MEEEEEEEEEEEEEEEEEEE

Answer 1

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.