Find regular exercises

First, about the law of sequence.

1.4, 10, 16, 22, 28, find the nth ().

2.2, 3, 5, 9, 17, with an increase of 1, 2, 4, 8. The nth digit ()

3. Observe the following numbers: 0, 3, 8, 15, 24. Try to write the number 100 according to this rule, and the number n is-.

4. 1, 9, 25, 49, (), (), the nth item is (), 5: 2, 9, 28, 65 ...: the nth number ().

6: 2, 4, 8, 16 ... the nth number. ()

7: 2,5, 10,17,26, the nth digit. ()

8 : 4, 16,36,64,? , 144, 196,? ? The hundredth number () 9. Observe the following two lines.

2,4,8, 16,32,64, ...( 1) 5,7, 1 1, 19,35,67...(2)

According to the law you found, take the tenth number of each row and find their sum. 10, white, black, black, black, black, black, black, black, black, black, black, black, black beads, top in 2002.

How many are black? 1 1.

=8

= 16

=24 The law is expressed by an algebraic expression containing n..

( )

12. 12,20,30,42,( ) 127, 1 12,97,82,( ) 3,4,7, 12,( ),28 13 . 1,2,3,5,( ), 13

14.0, 1, 1,2,4,7, 13,( ) 15 .5,3,2, 1, 1,( )

16. 1,4,9, 16,25,( ),49 17.66,83, 102, 123,( ) , 18. 1,8,27,( ), 125 19。 3, 10,29,( ), 127 20, 0, 1,2,9,( ) 2 1;

( )。 Then the nth algebraic expression is: ()

22 , 2/3 1/2 2/5 1/3 ( )。 The algebraic expression of the nth term is () 23, 1, 3, 3, 9, 5, 15, 7, 24.2, 6, 12, 20, ().

25. 1 1, 17,23,( ),35。 26.2,3, 10, 15,26,( )。 27.: 1,8,27,64,( ) 28.:0,7,26,63 ,( )