SOLUTION: Find the n th term of the following sequence: 5 + 55 + 555 + ….. (T)n

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Question 1040396: Find the n th term of the following sequence:
5 + 55 + 555 + ….. (T)n
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Nth term:
5*(1%2B10%2B10%5E2%2B10%5E3+...+10%5E%28n-2%29%2B10%5E%28n-1%29) = 5%2A%28%2810%5En-1%29%2F%2810-1%29%29+=+%285%2F9%29%2A%2810%5En-1%29=T%28n%29