6.3k views
3 votes
Write the series 1 − 1/2 + 1/3 − 1/4 + · · · in sigma notation.

1 Answer

4 votes

Final answer:

The series 1 - 1/2 + 1/3 - 1/4 + ... can be written in sigma notation as Σ from n=1 to infinity of ((-1)^(n+1) / n), expressing the pattern of alternating positive and negative terms.

Step-by-step explanation:

The series 1 − 1/2 + 1/3 − 1/4 + … can be expressed in sigma notation as follows: Σn=1∞ ((-1)n+1 / n)

This is an alternating series, where the sign of the terms changes from positive to negative in a regular pattern. The n in the denominator represents the sequence of natural numbers, while ((-1)n+1) governs the alternating signs.

User Sachin Rasane
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.