Question

Can anyone pls help me in math<3

Answer 1

Third number is 12

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