Alternating convergent series jump over the sum with each partial sum Alternating convergent series jump over the sum with each partial sum. The nth partial sum is off by less than the “n+1” jump (the first neglected term) because we know the next jump will jump past the actual sum.

Actual Sum – Partial Sum = Remainder which is ≤ the first neglected term

Informal…

1. Determine whether the series converges or diverges using the alternating series test, if possible. 2. Determine if a convergent series converges absolutely or conditionally.

1. Determine whether the series converges or diverges using the alternating series test, if possible. 2. Determine if a convergent series converges absolutely or conditionally.

Practice: TBA