Question

Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

Answer 1

@CamPayne

Answer 2

@3mar

Answer 3

it can be a function

Answer 4

All sequences are special type of function.

Answer 5

but why i dont know

Answer 6

the numbers dont repeat so this makes it a function

Answer 7

I sequence is basically a function whose domain is the natural number

Answer 8

so im right?

Answer 9

Well you're right but nor for the reason they you stated. Even if the numbers are repeated, it is still a function.

Answer 10

WHat how!

Answer 11

consider the sequence, 1,1,1,1,...

it is still a function. I.e, f(x) = 1 for all x in the naturals

Answer 12

then what would make it not a function

Answer 13

ALL sequences are functions. So, there isn't a sequence that is not a function.

Answer 14

oh okay

Answer 15

thanks so much m8

Answer 16

no prob

Answer 17

btw... very well explained !

Answer 18

A function has only 1 value of 'y' for each value of x

in a sequence the 'x' value is the position in the sequence. Ther is only one 'y' value for each position

Answer 19

By the way, if you're looking for the function of the sequence, it is
\(a(i)=\frac{i^2}{2}+\frac{i}{2}+5\) for i\(\ge\)0
which is, as discussed above, a function.

Answer 20

wooooow @mathmate dont pull some complicate stuff on me (rofl)

Answer 21

@ItryMath
Actually, I forgot to add: "all polynomials are functions".
That can be useful for certain questions.

Answer 22

thanks @mathmate

Answer 23

You're welcome! :)