问题
填空题
已知等差数列{an}满足a1=4,a2+a4=4,则a10=______.
答案
设等差数列{an}的公差为d,由足a2+a4=4,得
2a1+4d=4,又足a1=4,所以d=-1.
则a10=a1+9d=4+9×(-1)=-5.
故答案为-5.
已知等差数列{an}满足a1=4,a2+a4=4,则a10=______.
设等差数列{an}的公差为d,由足a2+a4=4,得
2a1+4d=4,又足a1=4,所以d=-1.
则a10=a1+9d=4+9×(-1)=-5.
故答案为-5.