Question

For each sequence, determine whether it appears to be arithmetic, If it does, find the common difference. Arithmetic Commons difference: d = -4, -40, -400, -4000, ... Not arithmetic Arithmetic Common difference: d= -11, -8, -5, -2, ... d Not arithmetic Arithmetic 23, 17, 11, 5, ... Common difference: d=Not arithmetic

Answer 1

An arithmetic sequence is a list of numbers with a definite pattern.

If we take any number and subtract the previous number, the result is the same constant.(common difference)

-4, -40, -400, -4000,

-40-(4)= -40+4 = -36

-400-(-40)= -400+40 = -360

Not arithmetic

-11,-8,-5,-2

-8-(-11) = -8+11 = 3

-5-(-8)= -5+8 = 3

-2-(-5)=-2+5 = 3

Arithmetic

Common difference: d= 3

23, 17, 11, 5,

17-23 = -6

11-17= -6

5-11 = -6

Arithmetic

Common difference: d =-6