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

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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 = -y
==> an + bn = 25 + n * x + 75 + n * y
= 100

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项设数列{an}和{bn}都是等差数列,且a1=25,b1=75,a100+b100=100,则数列{an+bn}的前10 设数列{an}和{bn}都是等差数列，其中a1=25，b1=75，且a100+b100=100，则数列{an+bn}的前 an}、{bn}都是等差数列,且a1=50,b1=15,a100+b100=100,则数列{an+bn}的前100项之和数列{An}和{Bn}是等差数列,A1=25,B1=75且A100+B100=100,求{An+Bn}前100项和已知{an},{bn}都是等差数列,且a1=5,b1=15,a100+b100=100,则数列｛an}+{bn} 的前1 等差数列｛An｝和｛Bn｝,A1=25,B1=75,A100加B100=100,则数列｛An加Bn｝前一百项和为多少?怎等差数列{an}、{bn}中,a1=36,b1=64,a100+b100=100,则数列{an+bn}的前200项和为. 已知数列{an}，{bn}都是等差数列，且a1=5，b1=15，a100+b100=100，数列{cn}满足cn=an+ 等差数列anbn中a1=36.b1=64,a100+b100=100,则数列an+bn的前200项和为设数列{an}、{bn}都是等差数列,且a1=35,b1=75,a2+b2=100,求数列{an+bn}的第37项的值设数列｛an｝和｛bn｝是等比数列其中a1＝25,b1＝75,且a100+b100＝100,则数列｛an+bn｝前10