Question

Graph the first six terms of a sequence where a1 = -10 and d = 3.

Answer 1

graph the terms in a sequence?
Well your x and y coordinates in general would look as follows:

\(\large\color{black}{ \displaystyle (1,~a_1) }\)
\(\large\color{black}{ \displaystyle (2,~a_2) }\)
\(\large\color{black}{ \displaystyle (3,~a_3) }\)
\(\large\color{black}{ \displaystyle (4,~a_4) }\)
and on...

Answer 2

with d=3, wat would be your second term ?

Answer 3

where do you put the d?

Answer 4

the "d" is a common difference.
Can I give you an example of a different sequence >?

Answer 5

yeah whatever helps please!

Answer 6

Find the first four terms of a sequence where \(\large\color{black}{ \displaystyle a_1= 4 }\) and \(\large\color{black}{ \displaystyle d=2 }\).

your first term (denoted as \(\large\color{black}{ \displaystyle a_1 }\) ) is 4.
your second term (denoted as \(\large\color{black}{ \displaystyle a_2 }\) ) is:
\(\large\color{black}{ \displaystyle a_2=a_1+d }\)
you know \(\large\color{black}{ \displaystyle a_1=4 }\) and \(\large\color{black}{ \displaystyle d=2 }\)
\(\large\color{black}{ \displaystyle a_2=4+2=6 }\)

Answer 7

So, to find each preceding term you will be adding this "d" (in this case 2).

Answer 8

So the sequence in general is:
\(\large\color{black}{ \displaystyle a_1,~~~(a1)+d,~~~(a1+d)+d,~~~(a1+d+d)+d, }\) ... etc

Answer 9

ok, lets (I guess) do your example to save some time.

Answer 10

\(\large\color{black}{ \displaystyle a_1=-10}\)
with d=3

Answer 11

so it'd be -10+3?

Answer 12

yes,
\(\large\color{black}{ \displaystyle a_2=-10+3=7}\)

Answer 13

sorry not 7, but -7

Answer 14

\(\large\color{black}{ \displaystyle a_2=-10+3=-7}\)

Answer 15

then
\(\large\color{black}{ \displaystyle a_3=-7+3=-4}\)

Answer 16

can you tell me the \(\large\color{black}{ \displaystyle a_4}\) ?

Answer 17

-1?

Answer 18

so if your starting with a2, does that mean to make them points on a grap it'd be (1,-10)(2,-7)(3,-4) etc...??

Answer 19

yes
\(\large\color{black}{ \displaystyle a_4=-1}\)

Answer 20

yes, very good

Answer 21

what are the remaining coordinates ?

Answer 22

(you have 3 coordinates remaining)

Answer 23

(4,-1)(5,2)(6,5)

Answer 24

yes, very nice!

Answer 25

so you will have (just for review)
\(\large\color{black}{ \displaystyle (1,-10)}\)
\(\large\color{black}{ \displaystyle (2,-7)}\)
\(\large\color{black}{ \displaystyle (3,-4)}\)
\(\large\color{black}{ \displaystyle (4,-1)}\)
\(\large\color{black}{ \displaystyle (5,~~~2)}\)
\(\large\color{black}{ \displaystyle (6,~~~5)}\)

Answer 26

bye

Answer 27

can i ask one more and you tell me if i did it right?

Answer 28

Graph the six terms of a finite series where a1 = 5 and r = 1.25