Question

Form a sequence that has two arithmetic means between -2 and 58.

Answer 1

not sure how a sequence can have two arithmetic means....

Answer 2

each sequence to my knowledge only has one arithmetic mean
the arithmetic mean is just the average the mean ... the sum of the terms in the sequence divided by the number of the terms in the sequence

Answer 3

okay...

Answer 4

I have no idea how to do what they are asking lol

Answer 5

does it really say form a sequence that has two arithmetic means?

Answer 6

Yep. Those are the exact words ^

Answer 7

That is not possible.

Answer 8

There is one arithmetic mean per sequence.

Answer 9

http://prnt.sc/awulhn

Answer 10

your definition of arithmetic mean must be different from everyone else's...
what is you definition of arithmetic mean ?

Answer 11

Let me look at the definition from my book

Answer 12

"arithmetic mean- the terms between any two nonconsecutive terms of an arithmetic sequence"

Answer 13

Ohhh I think I figured it out. We use the formula: \[a_n=a_1+(n-1)d \]where d is the difference...this is just the first step

Answer 14

so the sequence must include -2 and 58
and then it says there must be two numbers in between those (those two numbers are what they are calling arithmetic means)


anyways this is not a universal definition of arithmetic mean
I for one have never heard of this definition

the definition I have heard for arithmetic mean is the sum of the elements in a sequence divided by the number of elements in the sequence

Answer 15

Yeah. So the sequence would be -2, 18, 38, 58

Answer 16

yep that would seem to be the answer based on your definition

Answer 17

Awesome, thanks!

Answer 18

and that is an arithmetic sequence since the common difference is 20

Answer 19

ohh okay