Which expression illustrates the associative property of addition?
(3 + 19) – 12 = (3 + 12) – 19
3 + (19 – 12) = 3 + (19 + 12)
(3 + 19) – 12 = 3 + (19 – 12)
3 + (19 –12) = 3 – (19 + 12)

THIRD OPTION.

Step-by-step explanation:

The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

Based on this and having the expression , we can apply the Associative property as following:

Therefore, the  expression that illustrates the Associative property of addition is the one shown in the Third option.

C:(3+9)-12=3+(19-12)

Step-by-step explanation:

We are given that some options

We have to find that which expression illustrate the associative property of addition

Associative property of addition:

Let a, b and c are integers then

(a+b)+c=a+(b+c)

a=3 ,b=19,c=-12

(3+19)-12=3+(19+(-12))

(3+9)-12=3+(19-12)

Hence, option C is true.

, 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