What is the common difference for the sequence shown below?

coordinate plane showing the points 3, 4; 1, 3; and negative 1, 2

−2
−one half
one half
2

Question

What is the common difference for the sequence shown below?

coordinate plane showing the points 3, 4; 1, 3; and  negative 1, 2

 −2
 −one half
 one half
 2

solomonzelman · Answer

For coordinates (x,y)
it is equivalent of $a_x=y$

itsmichelle29 · Answer

what does common differnce mean ??

solomonzelman · Answer

Common difference, in arithmetic sequence, is the number that you add (or subtract) to get  to the next term

solomonzelman · Answer

this number is denoted with letter d.

itsmichelle29 · Answer

okay thanks

solomonzelman · Answer

wow, you are very smart! genius!
$a_3=4$
$a_1=3$

$a_n=a_1+d(n-1)$
$a_3=a_1+d(3-1)$
$a_3=a_1+2d$
$4=3+2d$
$1=2d$
$d=1/2$

itsmichelle29 · Answer

Lol u make me feel so much better about my math .. Thanks

solomonzelman · Answer

You should feel better about your math. I rarely meet people who catch things so quickly.

solomonzelman · Answer

you are always welcome!