Question

Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=

Answer 1

To find a2 and a3, we can use the given recursive formula aₙ = 6aₙ₋₁. First, we find a₂ by substituting the value of n as 2, which is equal to -30. Next, we find a₃ by substituting the value of n as 3, which is equal to -180.

Step-by-step explanation:

To find a2 and a3, we can use the given recursive formula an = 6an-1.

First, we find a2 by substituting the value of n as 2 in the formula:

a2 = 6a2-1 = 6a1 = 6(-5) = -30

Next, we find a3 by substituting the value of n as 3 in the formula:

a3 = 6a3-1 = 6a2 = 6(-30) = -180