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Write a formula to find any term in an arithmetic sequence.When given a sequence, make a _____ and then use ______ ______.

A) a prediction, subtraction and multiplication
B) a calculation, addition and division
C) a determination, multiplication and subtraction
D) a calculation, subtraction and addition

User Stu Pegg
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Final answer:

To discover any term in an arithmetic sequence, use a formula based on the first term and common difference. The correct approach involves a calculation that applies subtraction and addition. Mastery of the underlying concept is more valuable than memorizing formulas.

Step-by-step explanation:

To find any term in an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) × common difference

When given a sequence, you should make a calculation, and then use subtraction and addition to find the term. Therefore, the correct answer is Option D) a calculation, subtraction and addition.

Understanding the concept behind the formula is crucial. Equations in mathematics can be seen as sentences expressing certain truths. Once you grasp the fundamental principle, the usage of equations becomes more about application rather than memorization.

User WIRN
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