Question

Can anyone pls help me in math<3

Answer 1

Answer:

Third number is 12

Step-by-step explanation:

Let $\displaystyle \large{d}$ be common difference & $\displaystyle \large{x}$ be the third number. Set up the following equations:

$\displaystyle \large{x-2d=-2 \to (1)}\\\\\displaystyle \large{x+2d=26 \to (2)}$

Solve the simultaneous equation for x-term:

$\displaystyle \large{2x=24}\\\\\displaystyle \large{x=12}$

Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):

$\displaystyle \large{12-2d=-2}\\\\\displaystyle \large{-2d=-14}\\\\\displaystyle \large{d=7}$

Now add each terms with common difference as 7:

-2+7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

So our pattern is -2, 5, 12, 19, 26. Since the question only asks for third number then the answer is 12