Consider it a partial sum?

Calculus Level 3

True or False?

Let \(T_n\) denote the \(n^\text{th} \) term of a geometric progression.
Given that \(T_1 + T_2 + T_3 + \cdots = 1 \).
Then \(\displaystyle \sum_{n=1}^\infty T_{2n} = T_2 + T_4 + T_6 + \cdots \) must be less than 1.

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