Show that
[tex](a - b) {}^{2} , \: (a + b) {}^{2} and \: (a + b) {}^{2} [/tex]
are in AP.
Class 10
Arithmetic Progressions
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Show that
[tex](a - b) {}^{2} , \: (a + b) {}^{2} and \: (a + b) {}^{2} [/tex]
are in AP.
Class 10
Arithmetic Progressions
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Verified answer
HEY THERE!!!
Correct Question:-
Show that (a-b)², (a²+b²)and (a+b)² are in Arithmetic Progression.
Method Of Solution:-
Let to be T1=(a-b)²
Let to be T2=a²+b²
Let to be T3=(a+b)²
To Find Common Difference must be Subtractaction T1 From T2.
According to the Question;-
T2-T1
=> (a²+b²)-(a-b)²
=> a²+b²-(a²+b²-2ab)
=> a²+b²-a²-b²+2ab
=> 2ab
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Again, Follow the Following Question as per as First Solution;-
*To find Common Difference of Arithmetic Sequence or Progression*
T3-T2
=> (a+b)²-(a²+b²)
=> a²+b²+2ab -a²-b²
=> 2ab
Hence, It's are in Arithmetic Sequence or Progression
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Here, Both Common difference are exactly Same,Sowe considered on Formula of Arithmetic Sequence or Progression;-
If common Difference are same then it's considered to be Arithmetic Sequence are in the Form of arithmetic progression.
Thank you!!