"Classify the series. sum_(n = 1)^34 (n + 2)^3 Radio Choices: [[infinite][finite]]"

Upper Limit Analysis: Look at the upper limit of the series, which is 34. Since it's a specific number, not infinity, the series has a finite number of terms.Lower Limit Analysis: Check the lower limit of the series, which is 1. This confirms that the series starts at n=1 and ends at n=34, which is a total of 34 terms.Series Finiteness: Since both the upper and lower limits are finite numbers, the series sum_(n = 1)^34 (n + 2)^3 is a finite series.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Classify the series. $\sum_{n = 1}^{34} (n + 2)^3$ $\newline$ Radio Choices: $\newline$ $\text{[A]infinite}$ $\newline$ $\text{[B]finite}$

View step-by-step help

Home

Math Problems

Algebra 2

Introduction to sigma notation

Full solution

Q. Classify the series.

\sum_{n = 1}^{34} (n + 2)^3

\newline

Radio Choices:

\newline

\text{[A]infinite}

\newline

\text{[B]finite}

Upper Limit Analysis: Look at the upper limit of the series, which is $34$ . Since it's a specific number, not infinity, the series has a finite number of terms.
Lower Limit Analysis: Check the lower limit of the series, which is $1$ . This confirms that the series starts at $n=1$ and ends at $n=34$ , which is a total of $34$ terms.
Series Finiteness: Since both the upper and lower limits are finite numbers, the series $\sum_{n = 1}^{34} (n + 2)^3$ is a finite series.