SOLUTION: use the following recursive formula to write the first five terms of the sequence.. t1=2, tn=2(tn-1)+3 how do i do this??

Algebra ->  Sequences-and-series -> SOLUTION: use the following recursive formula to write the first five terms of the sequence.. t1=2, tn=2(tn-1)+3 how do i do this??      Log On


   



Question 415544: use the following recursive formula to write the first five terms of the sequence.. t1=2, tn=2(tn-1)+3 how do i do this??
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have t%5Bn%5D+=+2t%5Bn-1%5D+%2B+3 and the initial condition t%5B1%5D+=+2. To find t%5B2%5D, just replace n with 2 in the first equation, i.e.

t%5B2%5D+=+2t%5B1%5D+%2B+3+=+2%282%29+%2B+3+=+7 (since we already have t%5B1%5D+=+2)

Repeat the same process to find t%5B3%5D through t%5B5%5D.