证明:{a2=a1+d
{S11=11 a1 +55 d
所以d=0.5 a1=0.5
an=a1+(n-1)d=0.5+0.5n-0.5=0.5n
bn=(1/2)的0.5n次方
b n+1/bn =0.5的0.5(n+1)次方/0.5的0.5n次方 =0.5的0.5次方 =0.5的开方
为一常数,
所以{bn}为等比数列.
证明:{a2=a1+d
{S11=11 a1 +55 d
所以d=0.5 a1=0.5
an=a1+(n-1)d=0.5+0.5n-0.5=0.5n
bn=(1/2)的0.5n次方
b n+1/bn =0.5的0.5(n+1)次方/0.5的0.5n次方 =0.5的0.5次方 =0.5的开方
为一常数,
所以{bn}为等比数列.