Which value of gg g g makes 26=7(g−9)+1226=7(g-9)+12 26=7(g−9)+12 26, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12 a true statement?

The value of g that makes the statement true is 11.

Step-by-step explanation:

The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:

7*(g-9) + 12 = 26

7*(g-9) = 26 - 12

7*(g-9) = 14

(g-9) = 14/7

(g-9) = 2

g = 2 + 9 = 11

The value of g that makes the statement true is 11.

g=11

Step-by-step explanation:

We are to determine the value of g that makes the equality below a true statement.

26=7(g-9)+12

First, we simplify the bracket.

26=7g-63+12

26=7g-51

Add 51 to both sides to isolate the term containing g

26+51=7g-51+51

77=7g

To solve for g, divide both sides by 7.

g=11

, 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