求数列2,7,16,30,50.的通式
1个回答

2=1+2-1

7=(1+2)+(1+2+3)-2

16=(1+2)+(1+2+3)+(1+2+3+4)-3

30=

(1+2)+(1+2+3)+(1+2+3+4)+(1+2+3+4+5)-4

50=

(1+2)+(1+2+3)+(1+2+3+4)+(1+2+3+4+5)+(1+2+3+4+5+6)-5

则第n项为数列a(n)=(n+1)n/2前n+1项之和-n-1.即[(n+1)*(n+2)*(2n+6)/12]-n-1