Skipping sums

Algebra Level 3

If a+a2+a3+a4+a5+a + a^2 + a^3 + a^4 + a^5 + \cdots is a positive number, then which of the following is larger,

a+a3+a5+a7+ora2+a4+a6+a8+?a+a^3+a^5+a^7+\cdots\quad \text{or}\quad a^2+a^4+a^6+a^8+\cdots\, ?

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