مشاهدة النسخة كاملة : المتتآليات
live & believe
2013-01-23, 18:09
السلام عليكم
تمرين آخر في المتتاليات
http://www10.0zz0.com/2013/01/23/17/536694968.jpg
NADAI1213
2013-01-23, 19:00
السلام عليكم
تمرين آخر في المتتاليات
http://www10.0zz0.com/2013/01/23/17/536694968.jpg
حساب v1وr
نحسب وسط الحسابي 2v2=V1+V3
3V2=24 ومنه v2=8
v3=v1+2r
v4=v1+3r
v5=v1+4r
v6=v1+5r
v7=v1+6r
نعوض v1+v1+2r=24-8
v1+3r+v1+4r+v1+5r+v1+6r=74
ومنه
2v1+2r=16...............المعادلة1
4v1+18r=74
نضرب المعادلة 1 في2
4v1+4r=32
4v1+18r=74
بالطرح نجد
14r=42 ومنه r=3
ومنه نعوض r..في معادلة1
2V1=10
v1=5
استنتاجVnبدلالةn
vn=Vp+(n-p)r
Vn=v1+(n-1)3
vn=5-3+3n
vn=3n+2
NADAI1213
2013-01-23, 19:04
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live & believe
2013-01-24, 09:42
حساب v1وr
نحسب وسط الحسابي 2v2=v1+v3
3v2=24 ومنه v2=8
v3=v1+2r
v4=v1+3r
v5=v1+4r
v6=v1+5r
v7=v1+6r
نعوض v1+v1+2r=24-8
v1+3r+v1+4r+v1+5r+v1+6r=74
ومنه
2v1+2r=16...............المعادلة1
4v1+18r=74
نضرب المعادلة 1 في2
4v1+4r=32
4v1+18r=74
بالطرح نجد
14r=42 ومنه r=3
ومنه نعوض r..في معادلة1
2v1=10
v1=5
استنتاجvnبدلالةn
vn=vp+(n-p)r
vn=v1+(n-1)3
vn=5-3+3n
vn=3n+2
.....بوركت.
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؟؟؟
هدا التمرين ماخود من بكالوريا 1993 برنامج قديم
U1=5
r=3
Un=3n+2
العدد المطلوب في المتراجحة هو
2008=n
live & believe
2013-01-24, 10:38
لم أفهم جيدا؟ممكن توضيح؟..
لم أفهم جيدا؟ممكن توضيح؟..
هدا التمرين من اسهل تمارين المتتاليات
ان وجدت الوقت سوف اقوم بحله بالتفصيل و اضع الاجابة.
live & believe
2013-01-24, 11:44
طيب..
لكنني قصدت نص التمرين
أهــلا مريم
هذا باقي الحل :
1-
http://latex.codecogs.com/gif.latex?V_{n}%3E%206023\Rightarrow%203n+2%3E%206 023%20\Rightarrow%20n%3E%202007%20\\%20\\%20n=2008
2-
http://latex.codecogs.com/gif.latex?S_{n}=U_{1}+U_{2}...+U_{n}%20\\%20\\%20S _{n}=\frac{n}{2}%28U_{1}+U_{n}%29%20\\%20\\%202S_{ n}=2%28U_{1}+U_{1}+%28n-1%29d%29%20\\%20\\%202S_{n}=n%28dn+2U_{1}-d%29\Rightarrow%20n%28dn+2U_{1}-d%29=n%283n+7%29\\%20\\%20dn+2U_{1}-d=3n+7
بالمطابقة نجد :
d=3
نعوض نجد :
U1=5
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