数列{an}中,满足下列条件,求通项an①a(n+1)=an+2^n(2的n次方)②a1=1*n,(n+1),1为a下标

数列{an}中,满足下列条件,求通项an①a(n+1)=an+2^n(2的n次方)②a1=1*n,(n+1),1为a下标
数列{an}中,满足下列条件,求通项an
①a(n+1)=an+2^n(2的n次方)
②a1=1
*n,(n+1),1为a下标

数列{an}中,满足下列条件,求通项an①a(n+1)=an+2^n(2的n次方)②a1=1*n,(n+1),1为a下标
a(n)=a(n-1)+2^(n-1)
a(n-1)=a(n-2)+2^(n-2)
……
a2=a1+2
累加
a(n)=a1+2+2^2+2^3+……+2^(n-1)
=1+2+2^2+2^3+……+2^(n-1)
=2^n-1