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Mathematics
Mathematics
Problem
Let
T
n
T_n
T
n
is
n
th
n^{\text{th}}
n
th
term of an A.P. if
∑
m
=
1
5
99
T
2
m
=
5
100
\sum_{m=1}^{5^{99}} T_{2m} = 5^{100}
∑
m
=
1
5
99
T
2
m
=
5
100
and
∑
m
=
1
5
99
T
2
m
−
1
=
5
99
\sum_{m=1}^{5^{99}} T_{2m-1} = 5^{99}
∑
m
=
1
5
99
T
2
m
−
1
=
5
99
, then common difference of A.P. is
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