The work that yi did to find the greatest common factor of 42 and 63 is shown below. factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 factors of 63: 1, 7, 9, 63 the greatest common factor is 7. what is yi’s error? yi did not list all the factors of 63. yi listed multiples for each number instead of factors. yi did not list all the factors of 42. yi found the least common multiple.

A. Yi did not list all the factors of 63.

Step-by-step explanation:

We have been given Yi's work to find greatest common factor of 42 and 63 as shown below:

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 63: 1, 7, 9, 63

Yi found that greatest common factor is 7.

To find Yi's error, let us check our given choices one by one.

A. Yi did not list all the factors of 63.

Let us find factors of 63.

Factors of 63: 1, 3, 7, 9, 21, 63

Upon looking at Yi's factors of 63, we can see that Yi did not list 3 and 21 as factors of 63, therefore, option A is the correct choice.

A. yi did not list all the factors of 63

Step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for