Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
9. Sequences, Series, & Induction
Arithmetic Sequences
4:33 minutes
Problem 44
Textbook Question
Textbook QuestionFind the sum of the odd integers between 30 and 54.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Odd Integers
Odd integers are whole numbers that are not divisible by 2. They can be expressed in the form of 2n + 1, where n is an integer. In the context of the question, identifying the odd integers between 30 and 54 is essential for calculating their sum.
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Summation
Summation refers to the process of adding a sequence of numbers together to find their total. In this case, it involves adding all identified odd integers between 30 and 54. Understanding how to perform summation is crucial for arriving at the correct answer.
Range of Integers
The range of integers refers to the set of numbers that fall between two specified limits. Here, the range is defined between 30 and 54, and it is important to determine which integers within this range are odd. This concept helps in narrowing down the numbers to be summed.
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