prove that, nth term of an A. P is a linear expression is n ?????
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A/c let Tn =an+c is a linear equation where a is coefficient of n and c is constant
first of all
we put n=1
T1=a+c
put n=2
T2=2a+c
put n=3
T3=3a+c
put n=4
T4=4a+c
....
Tn=an+c
here we found
a+c, 2a+c,3a+c,4a+c.......na+c
we also know according to Ap :-a sequence is called in Ap when common difference b/w two consecutive number is constant
here
d=a i.e constant
so this is Ap series and these common difference is a i.e. coefficient of n
A/c let Tn =an+c is a linear equation where a is coefficient of n and c is constant
first of all
we put n=1
T1=a+c
put n=2
T2=2a+c
put n=3
T3=3a+c
put n=4
T4=4a+c
....
Tn=an+c
here we found
a+c, 2a+c,3a+c,4a+c.......na+c
we also know according to Ap :-a sequence is called in Ap when common difference b/w two consecutive number is constant
here
d=a i.e constant
so this is Ap series and these common difference is a i.e. coefficient of n
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