Tons of points what is the common difference in the following arithmetic sequence 2/3 1/6 -1/3 -5/6 \

The common difference is -1/2

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and is called the common difference

we have

a1=2/3

a2=1/6

a3=-1/3

a4=-5/6

so

a2-a1=1/6-2/3=-1/2

a3-a2=-1/3-1/6=-1/2

a4-a3=-5/6-(-1/3)=-5/6+1/3=-1/2

therefore

The common difference is -1/2

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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