It 101+102+103 +104 +...... tm = 15050, then
m=?
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101+102+103+.....+Tm=15050
a=101 ; d=1
Sn=n/2(2a+(n-1)d)
15050=n/2(101×2+(n-1)1) simplify this equation
15050×2=202n+n^2-n
n^2+201n-30100=0
solve the quadratic equation you will get two values one positive and second negative
negative is not possible because value of n can't be negative so take the positive value of n
then,
n=100
tm=a+(n-1)d
tm=101+(100-1)1
tm=101+99
tm=200
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