等比数列{an}中an>0,且a2a4+2a3a8+a7a9=36,则a3+a8=_.

问题描述:

等比数列{an}中an>0,且a2a4+2a3a8+a7a9=36,则a3+a8=______.

∵等比数列中,a2a4+2a3a8+a7a9=36,
a32+2a3a8+a82=36,
∴(a3+a82=36,
∵an>0,
∴a3+a8=6.
故答案为:6.