The formula of bifurcation problem, junior high school, a quadratic equation, is probably that a branch can grow x branches. After n rounds, how many trees are there in a * * *?

X branches can grow on one branch,

The second round has x * x = x 2 branches.

The third round has x 2 * x = x 3 branches.

By analogy, the nth theory (n is a positive integer) has x branches.

Or:

The first time is 1, the second time is 2, and the third time is 4.

That is, geometric progression sum with a 1= 1 and the common ratio of 2.

1*( 1-2^n)/( 1-2)=2^n- 1

Extended data:

The establishment of a quadratic equation with one variable must meet three conditions at the same time:

(1) is the whole equation, that is, both sides of the equal sign are algebraic expressions, if there is a denominator in the equation; And the unknown is on the denominator, then this equation is a fractional equation, not a quadratic equation. If there is a root sign in the equation and the unknown is within the root sign, then the equation is not a quadratic equation (it is an irrational number equation).

(2) contains only one unknown number;

③ The maximum number of unknowns is 2.

Baidu Encyclopedia-One-variable Quadratic Equation