数列{an}和{bn}都是等差数列,且a1=25,b1=75,a100+b100=100,则数列{an+bn}的第37项值为?

问题描述:

数列{an}和{bn}都是等差数列,且a1=25,b1=75,a100+b100=100,则数列{an+bn}的第37项值为?
要过程,谢谢.

应该是100,假设{an}每项的偏差为:x;假设{bn}每项的偏差为:y;a100 = a1 + 99 * x;b100 = b1 + 99 * y ;==> a1 + 99 * x + b1 + 99 * y = 100==> 25 + 99 * x + 75 + 99 * y = 100==> 99 * x + 99 * y = 0;==> x = -...