Question

How do you find the first five terms of each sequence `a_1=1`, `a_2=2` `a_(n+2)=4(a_(n+1))-3a_n`?

Answer 1

Use the definition

Explanation:

`a_1=1`
`a_2=2`
`n=1: a_3=4a_2-3a_1 =8-3=5`
`n=2: a_4=4a_3-3a_2 =20-6=14`
`n=3: a_5=4a_4-3a_3 =56-15=41`