Determine whether the following series is convergent or divergent. If convergent, find the sum.
∞∑i=1624i−4i2−35
Since the limit of the series is zero, I know that it is not divergent (divergence test).
How do i prove that the series is convergent, and futhermore, find the sum?
I rewrote the series (using partial fraction decomposition) as:
∞∑i=1624i−4i2−35=∞∑i=111/4i−10(−(1/4i−7))
But I don't know what to do from here.
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