Question

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 16, -8, 4, ...16,−8,4,....

Answer 1

Answer:

aₙ = -2aₙ₊₁

Step-by-step explanation:

According to the sequence given 16, -8, 4, ...

a1 = 16

a2 = -8

a3 = 4

From the values, we can conclude thst;

a1 = -2(-8)

Since a2 = -8, then;

a1 = -2(a2)

Similarly

a2 = -2(4)

a2 = -2a3

The subsequent sequence are;

a3 = -2a4

The nth term will ne;

aₙ = -2aₙ₊₁

Hence the required recursive function is aₙ = -2aₙ₊₁