SOLUTION: t1=-3. tn=4-2t^n-1 find t4

Algebra ->  Sequences-and-series -> SOLUTION: t1=-3. tn=4-2t^n-1 find t4      Log On


   



Question 1206849: t1=-3. tn=4-2t^n-1 find t4
Found 3 solutions by greenestamps, ikleyn, MathTherapy:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The use of "^" in the statement of the problem is not appropriate -- I have no idea what it might mean.

It helps to use parentheses to enclose the term numbers in a sequence -- e.g., "t(1)" instead of "t1".

My best guess is that the statement of the problem is supposed to be like this:

t(1)=-3. t(n)=4-2t(n-1). find t(4).

If that is how the problem is supposed to read, then re-post, telling us what it is about the problem you need help with.

Of course, if the statement of the problem is supposed to be something different, then re-post the problem clearly.


Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Having t1 and the formula, find t2 (simple arithmetic).

Having t2 and the formula, find t3.

Having t3 and the formula, find t4.


Have fun and enjoy (!)



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
t1=-3. tn=4-2t^n-1 find t4

NO NEED TO REPOST, as the OTHER PERSON suggests!

                      matrix%281%2C3%2C+t%5B1%5D%2C+%22=%22%2C+-+3%29           matrix%281%2C3%2C+t%5Bn%5D%2C+%22=%22%2C+4++-++2t%5Bn+-+1%5D%29
     =================            ================           =================
     matrix%281%2C3%2C+highlight%28t%5B2%5D%29%2C+%22=%22%2C+4+-+2t%5B2+-+1%5D%29            matrix%281%2C3%2C+highlight%28t%5B3%5D%29%2C+%22=%22%2C+4+-+2t%5B3+-+1%5D%29           matrix%281%2C3%2C+highlight_green%28t%5B4%5D%29%2C+%22=%22%2C+4+-+2t%5B4+-+1%5D%29
                                         
     matrix%281%2C3%2C+highlight%28t%5B2%5D%29%2C+%22=%22%2C+highlight%2810%29%29                  matrix%281%2C3%2C+highlight%28t%5B3%5D%29%2C+%22=%22%2C+highlight%28-+16%29%29                matrix%281%2C3%2C+highlight_green%28t%5B4%5D%29%2C+%22=%22%2C+highlight_green%2836%29%29