Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

A non-decreasing function-Monotone sequences

Hi tsr,

Why is s subscript n =1/n for all n contained in the natural set, a non-decreasing function? I thought the definition of a non-decreasing function is that if s subscript (n+1) is more than equal to s subscript n for all n contained in the natural set then we have a non-decreasing function.

For the sequence 1/n, the first term is 1, second term is 1/2 which isn't more than or equal to the previous term which is 1. How does this make any sense? Clearly I'm missing something here.

Any help would be much appreciated.

s_n = \frac{1}{n}

is certainly a strictly decreasing sequence..! What's telling you otherwise?

1/n is a decreasing sequence.

I think what you have there is a typo.

OP

Original post by Raiden10

I think what you have there is a typo.

Yes I was also thinking it has to be, thanks for confirming it. It was written in my lecture notes so I just wanted to double check.

(edited 10 years ago)

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