Tell whether the sequence is arithmetic. justify your answer. if the sequence is arithmetic, write a recursive
formula and an explicit formula to represent it.

3, 3.25, 3.5, 3.

The explicit formula

The recursive formula

                           for

    if

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

Where d is the constant difference between the terms.

is the first term of the sequence.

So

Finally, the recursive formula is:

a

b

d

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a