根据题意：a100=a1×a2a1×a3a2×…×a100a99而a1，a2a1，a3a2，…，anan−1，…是首项为1，公比为2的等比数列∴a1=1，a2a1＝2，a3a2＝22，anan−1＝2n−1∴a100a99＝299∴a100=a1×a2a1×a3a2×…×a100a99=1×2×2...