Question

Algebra II Help:

What is the average rate of change for the sequence shown below?
*Graph included*

A) -2
B) -1/2
C) 1
D) 2

Answer 1

@jdoe0001

Answer 2

@Directrix

Answer 3

looks like 1 unit rate
that's line and the average rate is the slope

Answer 4

I still don't understand how it's one.

Answer 5

take two points and do change in y/ change is x
like you do with finding the slope
any two point will do

Answer 6

Hmm. Okay. Thank you(:
Mind helping with 2 more please.

Answer 7

I'd really appreciate it.

Answer 8

let's see

Answer 9

\[\sum_{i=3}^{10}-5i+2=\sum_{3}^{10}-5i+\sum_{i=3}^{10}2=(-5\sum_{3}^{10}i)+2\times10 -4\]

Answer 10

for the \[\sum_{3}^{10}i=3+4+5+6+7+8+9+10\]

Answer 11

I'm following so far.

Answer 12

which is 52
then multiply that by -5
so we get \[-5\times 52 +20-4\]

Answer 13

-244?

Answer 14

But that isn't one of the choices. . .

Answer 15

hmm let me see i guess i made some error

Answer 16

222
240
255
-355
Those are my choices

Answer 17

I'm guessing it would be -355, because that is the only one with a negative number. But I could be incorrect.

Answer 18

hmm I'm sure what i did is correct!

Answer 19

I'll just skip that. Could you help me with another problem please?

Answer 20

hmm let's see the traditional way
\[ \sum_{3)^{10} -5i+2 =-5(3)+2-5(4)+2-5(5)+2-5(6)+2-5(7)+2-5(8)+2-5(9)+2-5(10)+2\]

Answer 21

ok quick i gotta go

Answer 22

Okay. Thank you.

Answer 23

that easy just plug in the points that are on the graph
into all of those equations and check which is true
like point 1,1
do 1=1(2)^0=1 so good
point 2,2
2=1(2)^2-1=1(2)=2 good
check all the point and do the same for other formulas

Answer 24

an is always the y component
for the third point 4=1(2)^2=4 again good

Answer 25

alright gotta leave

Answer 26

seems to me the first is the one that works