The general formula for finding the sum of a finite arithmetic sequence is (n/2)(a1 + an), where n is the number of terms and a1 and an are the first and last terms of the sequence.
To find the sum of an infinite geometric series, you can use the formula S = a/(1-r), where S is the sum, a is the first term, and r is the common ratio.
Yes, the sum of a series can be negative if the terms in the series alternate between positive and negative values. This is known as an alternating series.
A sequence is a list of numbers in a specific order, while a series is the sum of the terms in a sequence. In other words, a series is the result of adding all the terms in a sequence together.
There are various tests that can be used to determine if a series converges or diverges, such as the divergence test, the comparison test, and the ratio test. These tests involve analyzing the behavior of the terms in the series to determine if they approach a finite limit or if they continue to increase or decrease without bound.