Learn to write the rule of a sequence with alternating signs

The video tutorial explores how to determine the rule for the NTH term of a sequence with alternating signs. The instructor begins by examining the initial terms and considers multiplication and division as potential operations. The concept of alternating signs is introduced, and a formula involving powers of -1 is discussed. Adjustments are made to the formula to ensure it fits the pattern, and the final rule is established, ensuring the correct alternation of signs.

What is the significance of alternating signs in the formula discussed?

How can you adjust the first term to make it even, according to the text?