若数列{an},{bn}是等差数列,公差分别为d1,d2,则数列{a2n},{an,2bn)是不是等差数列?如果是,公差是多少
{a2n}是.
a(2n)-a(2(n-1))=2*d1,
{an±2bn}是.
a(n+1)±2b(n+1)-(an±2bn)
=(a(n+1)-an))±(2b(n+1)-(2bn)
=d1±2*d2
若数列{an},{bn}是等差数列,公差分别为d1,d2,则数列{a2n},{an,2bn)是不是等差数列?如果是,公差是多少
{a2n}是.
a(2n)-a(2(n-1))=2*d1,
{an±2bn}是.
a(n+1)±2b(n+1)-(an±2bn)
=(a(n+1)-an))±(2b(n+1)-(2bn)
=d1±2*d2