Question

A sequence is defined recursively~~~~

Answer 1

\[a _{n+1} = 3a_n - 8\] and \[a_1\] Find an explicit formula for \[a_n\] and then use mathematical induction to prove the formula to be true

Answer 2

meant to say \[a_1 = 4\]

Answer 3

does the sequence turn out to be 4, 4, 4, 4,....or am i really tired?

Answer 4

thats that i got too joe.. idk if thats right

Answer 5

what*

Answer 6

according to the formula it is.....how ridiculous is that.

Answer 7

lol so then the sequence would be \[4+4+4+...+4(n ^{0}) = 4n\]?

Answer 8

That would be a the series, if you are summing the terms. if its just asking about the sequence, then a (rather trivial) formula for the nth term would be:
\[a_n =4\]

Answer 9

im too tired to go on, i need sleep >.<