Identify whether the series summation of 15 open parentheses 4 close parentheses to the i minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.

this is a convergent geometric series. the sum is –5.

this is a divergent geometric series. the sum is –5.

this is a convergent geometric series. the sum cannot be found.

this is a divergent geometric series. the sum cannot be found.

  This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation:

The common ratio is 4, which is greater than 1, so the series diverges. There is no finite sum.

24/56=hx^7

step-by-step explanation:

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: