Use the process outlined in the lesson to approximate the number 3√10. use the approximation √10 ≈3162 277 7.
. find a sequence of five intervals that contain 3√10 whose endpoints get successively closer to 3√10. write your
iintervals in the form < 3^√10 < 3^s for rational numbers s.

sequence of five intervals

(1) 3³  <   <

(2)  <   <

(3) <   <

(4) <   <

(5)  <   <

Step-by-step explanation:

as per question given data      

√10 ≈ 3.162 277 7    

to find out      

sequence of five intervals

solution      

as we have given that √10 value that is here

√10 ≈ 3.162 277 7           ........................1

so  

when we find           ................2

put here √10 value in equation number  2  

we get     that is  32.27    

so    

sequence of five intervals

(1) 3³  <   <

(2)  <   <

(3) <   <

(4) <   <

(5)  <   <

i think 1: 2

step-by-step explanation:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome