1. what is the sum of the series?

∑i=153i

enter your answer in the box.

2.what is the sum of the series?

∑k=143k2

enter your answer in the box.


3. what is the sum of the series?

∑k=36(2k−10)

4. which answer represents the series in sigma notation?

1+14+116+164+1256+11024+14096

∑j=1714j+1

∑j=1714(j+1)

∑j=174j−1

∑j=17(14)j−1

5. which answer represents the series in sigma notation?

−5+(−1)+3+7+11

∑j=15(4j−9)

∑j=15(−6j+1)

∑j=15−5⋅(15)j−1

∑j=155j−1

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:

it shoild be o

step-by-step explanation:

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)