Express the rule of 1.2.4.8.16.32. With algebraic formula

Express the rule of 1.2.4.8.16.32. With algebraic formula

The (n-1) power of 2

9-1 = 8 16-4 = 12 25-9 = 16. Use algebraic expressions to express the laws you find in these equations

(n+2)^2-n^2=4(n+1)

Observe the number of columns: 3, - 5,7, - 9 The nth number can be expressed as

The nth number can be expressed as (- 1) ^ (n + 1) · (2n + 1)
(- 1) ^ (n + 1) means (n + 1) power of (- 1)

If n is a positive integer, then the natural number of 1 divided by 3 can be expressed as -?

3n+1

Let n be a natural number, and use algebraic expression to express the following positive integers divided by 3 and 1

3n+1

Let n denote any integer, expressed in algebraic form: a number that cannot be integer by 3

Let n denote any integer, expressed in algebraic form: a number that cannot be divided by 3
It can be expressed as:
3N±1
(n ∈ integer)

A positive integer, divided by 3 and 2, divided by 5 and 3, divided by 7 and 2, then the positive integer satisfying the condition is, and all the positive integers satisfying the condition can be expressed by algebraic expression
Pro, please don't copy,

First of all, dividing by 3 and dividing by 7 are congruences, that is, the common multiple of 3 and 7 is more than 21, which is 23,
Then it is found that the smallest one satisfying the above three conditions is 23,
5×21=105,
Therefore, all positive integers satisfying the condition can be expressed as 23 + 105N (n is a natural number)

Let n be a positive integer, and use the algebraic expression containing n to express the following odd numbers: even number: the number that is divided by three and the number that is divided by five and the number that is divided by two

1:3n + 1 divided by 3, 2:5n + 2 divided by 5. Supplement: odd number of 1 divided by 3: 3 × 2n + 1 = 6N + 1, even number: 3 × (2n + 1) + 1 = 6N + 4. Odd number of 2 divided by 5: 5N + 2, even number: 5 × 2n + 2 = 10N + 2

Three consecutive integers, if the middle one is n, use the algebraic expression containing n to represent the other two integers

The order is: n-1, N, N + 1: - D

1.36-m^2 2.4x^2-9y^2
Factorization

36-m^2
=(6+m)(6-m)
4x^2-9y^2
=(2x+3y)(2x-3y)