If you wanted to find the difference of 6/25-4/5,what common denominator should you choose?why?

25

Step-by-step explanation:

25 should be chosen as the common denominator. 5 is a possible common denominator because the other fraction has a denominator of 5 and 25 is divisible by 5, however, the numerator cannot be evenly divided by 5. Attempting to do so would cause a much more difficult equation. On the other hand, the denominator 5 can be changed to 25 by multiplying by 5, and 4 can also be changed by multiplying by 5.

4/5 x 5 = 20/25

6/25 - 20/25 = -14/20 = -7/10

the axial of symmetry

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