(1+19/92)+(1+19/92×2)+(1+19/92×3)+…(1+19/92×10)+(1+19/92×11)的结果是x,那么与x最接近的整数是_.
问题描述:
(1+
)+(1+19 92
×2)+(1+19 92
×3)+…(1+19 92
×10)+(1+19 92
×11)的结果是x,那么与x最接近的整数是______. 19 92
答
x=(1+
)+(1+19 92
×2)+(1+19 92
×3)+…+(1+19 92
×10)+(1+19 92
×11),19 92
=1×11+(1+2+3+…+10+11)×
,19 92
=11+(1+11)×11÷2×
,19 92
=11+66×
,19 92
=11+13.63,
=24.63;
因此,与x最接近的整数是25.
故答案为:25.