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The following is a regularly arranged number table, with the formula n as an integer, the number of the nth row and Nth column in the number table is [3Q]
Square of n minus n plus 1
As shown in the figure, the m-th number in the n-th row is (expressed by an algebraic expression containing N, n > m)
one
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
(picture)
one
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
.
n2－（2n－2）＋m
You see, N2 is the square of n
The known numbers are: 1, 34, 597, 16925 According to this rule, the nth number is expressed by algebraic expression______ ．
The nth number should be 2n − 1n2
Observe the arrangement of the next group of natural numbers and try to write the nth natural number
）1,4,7,10,……
1 + 3 * (n-1) is 3n-2
RELATED INFORMATIONS
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