Question

If a2=8, what are the first three terms of the sequence defined by the recursive formula below? an=3an-1+2

A8, 26, 80
B2, 8, 26
C8, 2, 0
D2, 8, 0

Answer 1

The answer is Letter B - 2, 8, 26

Given: an=3an-1+2 ; where a2=8
Required: First three terms of the sequence - a1, a2, a3
Solution:

You need to work back to get a1 since the given is a2.
To work back, minus 2 from 8 first before dividing the number by 3. 
 a1 = 8 - 2
 a1 = 6 / 3
 a1  = 2

In getting a3, multiply the given 8 by 3 then add 2. an=3an-1+2 : a3=3(8)+2
a3 = 8 x 3
a3 = 24 + 2
a3 = 26

Answer 2

Answer

B) 2, 8, 26

Step-by-step explanation:

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