# 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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