Can you figure out the number sequence?

6, 5, 8, 13, 10, 21, 12, 29, 14, ?

Here, we are required to figure out the number sequence 6, 5, 8, 13, 10, 21, 12, 29, 14.

The observation in the sequence is as follows;

By observation, the number sequence contains 9 terms. 4 even Nth term, and 5 odd Nth term.

For the even Nth terms, which are: 5, 13, 21, and 29.

For the odd Nth terms, which are: 6, 8, 10, 12, and 14.

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Umm i think one if u skip one number the sequence is like 6, 8, 10, 12, 14 which is adding by two.

The other one, 5, 13, 21, 29 is adding 8 to each number.

Im just guessing here sorry.

Plz mark brainliest:)

you'll just earn points here

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0