Question

Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that?

She showed that an explicit formula could be created.

She showed that a recursive formula could be created.

She showed that f(n) ÷ f(n - 1) was a constant ratio.

She showed that f(n) - f(n - 1) was a constant difference.

Answer 1

How is an arithmetic sequence defined?

Answer 2

idk

Answer 3

http://www.icoachmath.com/math_dictionary/arithmetic_sequence.html

if you read this, you will!

Answer 4

did you read it?

Answer 5

didnt help

Answer 6

so what did it say?

Answer 7

Arithmetic sequence is a sequence of numbers that has a constant difference between every two consecutive terms In other words arithmetic sequence is a sequence of numbers in which each term except the first term is the result of adding the same number called the common difference to the preceding term

Answer 8

the key words are "constant difference between every two consequtive terms"

which of your choices has wording like that? oh, and do you understand what that means?

Answer 9

now

Answer 10

?

Answer 11

do you now the answer

Answer 12

yeah, can you figure it out?

Answer 13

d ?

Answer 14

there you go...

f(n) is right after f(n-1), which means they're consecutive. because n isn't specified as a particular number, it means that all consecutive terms have that same difference.

thus D is the correct choice as it meets the definiton.

A doesn't necessarily work because if the formula doesn't yield f(n)-f(n-1) = constant for all n, then it's not an arithmetic sequence.

likewise with B & C.

I hope that helps!

Answer 15

thanks