The expression 6(x − 5) means the if x = 7, the value of the expression is (blank 1 ) 1. sum of 6 and the sum of x and 5. 2. product of 6 and the sum of x and 5. 3. product of 6 and the difference of x minus 5. 4. sum of 6 and the difference of x minus 5. (blank 2 ) 1. 3 2. 8 3. 12 4. 18

Following are the solution to the given expression:

Given:

To find:

value=?

Solution:

putting the x value into the above expression:

Therefore the final answer is "12".

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The expression 6(x − 5) means the product of 6 and the difference of x minus 5. If x = 7, the value of the expression is 12.

We can see that the number 6 to the left of the expression 6(x - 5), this means 6 times (x - 5), The reason we write it that way is because the multiplication symbol, ×, can be confused with the variable x, follow by (x - 5) which is the difference of x minus 5. All together is the product of 6 and the difference of x minus 5.

If x = 7, then:

6(7 - 5) = 6(2) = 12

, 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

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