SOLUTION: find the 100th and nth term for each of the sequences: a. 8,11,14,17,20,... b. 1,16,81,256,625,... c. 5,15,45,135,405,... d. 2,7,12,17,22,... e. 1,1/2,1/4,1/8,1/16,...

Algebra ->  Sequences-and-series -> SOLUTION: find the 100th and nth term for each of the sequences: a. 8,11,14,17,20,... b. 1,16,81,256,625,... c. 5,15,45,135,405,... d. 2,7,12,17,22,... e. 1,1/2,1/4,1/8,1/16,...      Log On


   

Question 395380: find the 100th and nth term for each of the sequences:
a. 8,11,14,17,20,...
b. 1,16,81,256,625,...
c. 5,15,45,135,405,...
d. 2,7,12,17,22,...
e. 1,1/2,1/4,1/8,1/16,...
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a. a%5Bn%5D+=+8+%2B+%28n-1%293, or a%5Bn%5D+=+3n+%2B+5 ==> a%5B100%5D+=+305
b. a%5Bn%5D+=+n%5E4 ==> a%5B100%5D++=100%5E4+=+10%5E8
c. g%5Bn%5D=5%2A3%5E%28n-1%29 ==> g%5B100%5D+=+5%2A3%5E99
d. a%5Bn%5D+=+2+%2B+%28n-1%295, or a%5Bn%5D+=+5n+-+3 ==> a%5B100%5D+=+497
e. g%5Bn%5D=1%2A%281%2F2%29%5E%28n-1%29 ==> g%5B100%5D+=+%281%2F2%29%5E99+=+1%2F2%5E99