Question

觀察下列等式

 
 
 
照此規(guī)律，第個(gè)等式為                             ．

Answer 1

n+(n+1)+(n+2)+ +(3n-2)=(2n-1)²

試題分析：根據(jù)條件中所給的等式分析觀察規(guī)律可得：第n個(gè)等式等號(hào)左邊有第一個(gè)數(shù)字為n，依次+1遞增一共有2n-1個(gè)數(shù)字，等號(hào)右邊為(2n-1)²,∴第n個(gè)等式為n+(n+1)+(n+2)+ +(3n-2)=(2n-1)²．