If a_1 =2 and a_n = 3a_n-1 - 2 then find the value of a_5.

Step-by-step explanation:

We know that

and

We need to find common difference, in order for us to do that, Let try to find a2.

Remebr a1=2

so a2=

so a2=4.

This means the common difference is 2 because a1 is 2 and a2 is 4.

Now, we use arithmetic formula to find a5

Where a is the inital term, a1

D is common difference and n is the term we trying to find

So we get

So

a_5=10

associative property hopes this ! : )

step-by-step explanation: