Answer :
Final Answer:
The 173rd term in the arithmetic sequence is -17124.
Explanation:
Arithmetic sequences are those in which each term is obtained by adding a constant value, known as the common difference, to the previous term. In this case, the common difference can be calculated by subtracting the second term from the first term:
Common Difference = (-192) - (-12) = -180.
To find the nth term of an arithmetic sequence, you can use the formula:
nth term = first term + (n - 1) * common difference.
Plugging in the values, we get:
173rd term = (-12) + (173 - 1) * (-180) = -17124.
Arithmetic sequences are an essential concept in mathematics, frequently used in various real-life scenarios such as financial calculations, physics, and computer science.
Understanding the formulas and properties of arithmetic sequences allows for predictions and analyses of patterns in numerical data. Mastery of these concepts is particularly useful in fields where linear progressions play a vital role, and it forms the foundation for more advanced topics in mathematics and related disciplines.
Learn more about arithmetic sequence
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