Question

1 2 1 3 4 5 6 7

is this sequence increasing ?



1 2 2 3 4 5 6 7

is this sequence strictly increasing ?

Answer 1

How would YOU be inclined to respond in these two cases?

Answer 2

@mathmale I would say yes and yes

Answer 3

Is 1 2 1 3 4 5 6 7 increasing? As shown, no. 1 2 1 is not increasing. However, were you to drop the first 2 numbers (1 and 2), the remaining sequence is increasing (and strictly increasing). Please share the definition of "increasing" that y ou're using here. Also share the def'n of "strictly increasing." What's the difference? Everything depends upon your understanding of the exact mathematical meanings of those two terms.

Answer 4

I undertand that increasing is the serie that eventually will always have the previews term less than the next one

Answer 5

stricktly increasing*

Answer 6

and increasing eventually will have the previews term less or equal to the next one

Answer 7

@mathmale

Answer 8

An increasing sequence is one where each term is greater or equal to the term before
A strictly increasing sequence is one where each term is (stricly) greater to the term before

Answer 9

Then, is 1 2 1 3 4 5 6 7 increasing or strictly increasing, or neither? Follow your own definitions.

Answer 10

Note the word "always."

Answer 11

so it's neither increasing nor decreasing @mathmale ? Then what does it do ?

Answer 12

it stays constant...kinda like a horizontal line ???