SOLUTION: How do you find the 200th term of the sequence {{{a[n]=10}}}

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Question 325896: How do you find the 200th term of the sequence
a%5Bn%5D=10
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

a%5Bn%5D=10

Substitute n=1

a%5B1%5D=10

Substitute n=2

a%5B2%5D=10

Substitute n=3

a%5B3%5D=10

As you see, a%5Bn%5D=10 represents the "monotonous" sequence:

10, 10, 10, 10, ...

which can be considered as either:

1. arithmetic sequence with first term 10, and common difference 0.

or

2. a geometric sequence with first term 10, and common ratio = 1.

Anyway, like all other terms in this "monotonous", the 200th term is 10,
but so is the 199th, and the 201st, and the 999,999,999,999th.  :-)

Edwin