这几道题怎么做?求助!!!
9.这是一个首项为4.9,公差为9.8的等差数列,求的是前10项的和:
a1 = 4.9,d = 9.8,则a10 = 4.9+9.8*9 = 93.1.
则物体下降的总高度,即前10项的和为:(4.9+93.1)*10/2 = 490 m;
10.这是求首项为21,公差为1的等差数列的前20项的和:
a1 = 21, d = 1, 则a20 = 21 +1*19 = 40.
则瓦片的总和为 (21+40)*20/2 = 510;
11. 3b - 6a = c;
a+b+c = 15;
a-b = b-c;
解上面的方程组,可得 a =1, b = 5, c =9;
B组
S(20) = -380, d = -2;
a20 = a1 + 19d = a1 - 38;————(1)S(20) = (a1 + a20)*20 / 2;————(2)
联立解(1)(2),得a1 = 0, a20 = -38;
S5 = 35, a11 = 31;
S5 = (a1 + a5)*5/2;
a5 = a1 + 4d;
以上两式得:S5 = 5(a1 + 2d) = 5 * a3 = 35;
解得 a3 = 7;
a11 = a1 + 10d = 31;
又:a11 - a3 = 8d = 31 - 7 = 24;
解得: d = 3;
a3 = a1 + 2d = 7;
解得 a1 = 1.
综上:a1 = 7, d = 3.
辛苦手打,望采纳。