SOLUTION: In the sequence 3, 9, 27, 81 ... the first term is 3 and each following term is 3 times the term before it. Of the following, which is an expression for the 100th term of the seque

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Question 948070: In the sequence 3, 9, 27, 81 ... the first term is 3 and each following term is 3 times the term before it. Of the following, which is an expression for the 100th term of the sequence? Please be detailed.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

In the sequence 3, 9, 27, 81 ...
first term is 3
second term is 9=>3%5E2
third term is 27=>3%5E3
fourth term is 81=>3%5E4
more terms
3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, ...
so, general formula is:
a%5Bn%5D+=+3%5En (for all terms given)
then a%5B100%5D+=+3%5E100
a%5B100%5D+=515377520732011331036461129765621272702107522001-515 quattuordecillion (a cardinal number represented in the U.S. by 1 followed by 45 zeros)