Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + + 81

ANSWER

EXPLANATION

The given series

This is an arithmetic series with a common difference of

The first term of the series is:

The general term is given by:

The last term is 81

We can use this to determine the number of terms in the series.

The summation notation is:

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: