It s about finding patterns, and it s about what kind of laws

8/2=4,32/8=4,128/32=4,128*4=512,2048/512=4.The rule is multiplied by 4.

35-24 = 11, 24-15 = 9, 15-8 = 7, the law is +3, +5, +7, +9, +11

Odd and even terms are two sequences, with odd terms plus 4 and even items plus 3

The number that follows 1 is multiplied by 4 for answer 512

2 Answer 0 3 The difference is a series of equal differences.

3 Answers 18 17 The difference between the positions is 4 3

1.Multiply by 4, answer 2, 8, 32, 128, (512), 20482Add 3, 5, 7, 9, 11 in that order

Answer(0),3),8,15,24,353Split the sequence into two sequences: 1, 3, 5, 7, 9 items plus 3 in turn. That is, 6 (first term) + 4 = 8 (third term) + 4 = 14 (fifth term) + 4 = 18 (seventh term) + 4 = 22 (ninth term).

2, 4, 6, 8, 10 add 4 in turn. That is, 8 (second term) + 3 = 11 (fourth term) + 3 = 14 (sixth term) + 3 = 17 (eighth term) + 3 = 20 (tenth term).

Answers: 6, 8, 10, 11, 14, 14, (18), 17), 22, 20

Question 1: An apple is next to a peach, so fill in the peach at the horizontal line.

In the second question, a cylinder is next to a rectangle, so fill in the cylinder at the horizontal line.

In the third question, two pineapples are next to an apple, so fill in the pineapple at the horizontal line.

1. The initials of Chinese characters containing the radicals of the character "Zhu" are all "zh" of the tongue, and the finals are also "u"2, the initials of the Chinese characters containing the radicals of the word "main" are the "zh" of the tongue, and the finals are also "u"3, and the initials of the Chinese characters on the radicals of the character "Shang" are the "sh" of the tongue, and the finals are all post-nasal "ang"4, and the initials of the Chinese characters containing the radicals of the word "cheng" are the "ch" of the tongue, and the finals are all post-nasal "eng"5, containing "中" The initials of the Chinese characters in the radicals of the word are all "zh" of the tongue, and the finals are all post-nasal "ong", and the time is relatively tight, so you can refer to it first It may not be standard

<> the second question is relatively simple, just write the result directly. a（n）=n³。

Next, let's talk about the first question.

a（3）=3×a（2）-a（1）=13；

a（4）=3×a（3）-a（2）=34；

a（5）=3×a（4）-a（3）=89。

To sum up, the law is:

a（1）=2；a（2）=5；

a（n+2）=3×a（n+1）-a（n）。

If there are irrational numbers in the general formula, they will not be derived.

25 225 625 1225 2025 3025...

The last digit is the square of the number of 5.

Difference 300 500 700 900 1100 1300....

5，15，20，25，30，35……The difference is 5 in the square of the number.

Multiples of 25 5.

Multiples of 100 10.

225 multiples of 15.

…is a series of equal differences with a difference of 5.

8, 10, and 12 are +2 respectively

12, 15, and 18 are +3 respectively

16, 20, 24 are +4 respectively

First of all, your answer is wrong.

Secondly, +2

16 20 24 Did you notice?

The difference in numbers in each column is from +4 to +6, and the difference in each row is from +2 to +4, in increments.

The one above is 12, not 34. A gradual and increasing pattern.

Fill in 12 in the top right corner.

Fill in 16 in the bottom left corner.

For each horizontal row, each vertical row adds up to 45

a（1）=3º/（3²-1）=1/8；

a（2）=3¹/（4²+2）=1/6；

a（3）=3²/（5²-3）=9/22；

a（4）=3³/（6²+4）=27/40。

To sum up, the law is:

a（n）=3^（n-1）/[（n+2）²+n×（-1）^n]。

Then a(5)=3 4(7 -5)=81 44.

A: Select D.

Find the pattern 0,1,5,3,10,5 after the numbers: 15, 7, 20, 9, 25, 11....In the string of numbers 0,1,5,3,10,5, the law of odd numbers is 1,3,5,7,9,11....

The latter differs from the former by 2; The law of even numbers is multiples of 5: 0, 5, 10, 15, 20, 25....Definition of the Equal Difference Sequence:

If the difference between each term and its previous term from the second term of a series is equal to the same constant, the series is called the equal difference series, and this constant is called the tolerance of the equal difference series, and the tolerance is often denoted by the letter d. The difference series is a common series, if a series from the second term, the difference between each term and its previous term is equal to the same constant, this series is called the difference series, and this constant is called the tolerance of the difference series, and the tolerance is often denoted by the letter d. The general formula for the equal difference series is:

The first n terms and formulas of an=a1+(n-1)d(1) are: na1+n(n-1)d 2 or sn=n(a1+an) 2. Note:

All of the above n are positive integers. In the string of numbers 0,1,5,3,10,5, there are actually two series of equal differences crossed 0,5,10,15 1,3,5,7