## College Algebra (11th Edition)

$\sum_{i=1}^9(\frac{1}{3i})$ or $\frac{1}{3}\sum_{i=1}^{9}(\frac{1}{i})$
We can see that the number in the denominator, in brackets is changing from 1 to 9, with steps of 1. Therefore this will be our variable, and the $\frac{1}{3}$ is constant in all the fractions in the series. We can write that the sum is: $\sum_{i=1}^9(\frac{1}{3i})=\frac{1}{3}\sum_{i=1}^{9}\frac{1}{i}$
The passage describes a mathematical expression and its equivalent form, but does not contain a question or an explicit answer to a question.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## College Algebra (11th Edition)

$\sum_{i=1}^9(\frac{1}{3i})$ or $\frac{1}{3}\sum_{i=1}^{9}(\frac{1}{i})$
We can see that the number in the denominator, in brackets is changing from 1 to 9, with steps of 1. Therefore this will be our variable, and the $\frac{1}{3}$ is constant in all the fractions in the series. We can write that the sum is: $\sum_{i=1}^9(\frac{1}{3i})=\frac{1}{3}\sum_{i=1}^{9}\frac{1}{i}$
user
The passage describes a mathematical expression and its equivalent form, but does not contain a question or an explicit answer to a question.

TYPE: NO_QUESTION