对第二个问题的回答
第一个问题的通式是:an = an-1+(-1)(n-1)/(2(n-1)),(a1 = 1/2。=2)
a2 = 1/2+(-1)1/(2 1)= 1/2 = 0;
a3 = 0+(-1)^2/(2^2)= 0+1/4 = 1/4;
a4 = 1/4+(-1)^3/(2^3)= 1/4-1/8 = 1/8;
a5 = 1/8+(-1)^4/(2^4)= 1/8+1/16 = 3/16;
所以第一个问题的答案是:3/16。
第二个问题的通式是:an = an-1+2+(n-2) 2,(a1 = 1,n > =2)
a2 = 1+2+(2-2)2 = 1+2+0 = 3;
a3 = 3+2+(3-2)^2 = 3+2+1 = 6;
a4 = 6+2+(4-2)^2 = 6+2+4 = 12;
a5 = 12+2+(5-2)^2 = 12+2+9 = 23;
a6 = 23+2+(6-2)^2 = 23+2+16 = 41;
所以第二个问题的答案是:23。
两点了,终于解决了。