how many terms do you have to compute in order for your approximation (your partial sum) to be within 0.0000001 from the convergent value of that series

The answer is "4 terms".

Step-by-step explanation:

Note that, alternatively, positive and negative terms are given in the sequence. It is also alternating  

Apply alternative test series:

use alternating test method we get:

that's why its value is 4 terms

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

answer: need a picture

step-by-step explanation: