Find an equation for the nth term of the arithmetic sequence. -17, -13, -9, -5,

The nth term is

Step-by-step explanation:

The given arithmetic sequence is -17, -13, -9, -5, ...

The first term of this sequence is .

The common difference can be found using any two consecutive terms.

The common difference is

The nth term of arithmetic sequence is given by the formula:

We plug in the values to obtain:

Expand

Simplify:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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