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Using the Formula for the General Term of an Arithmetic Sequence (to find a term)

a) This is a question about solving a specific problem involving the general term of an arithmetic sequence.
b) This is a question about the history of arithmetic sequences.
c) This is a question about the properties of prime numbers.
d) This is a question about the development of calculus.

1 Answer

3 votes

Final answer:

Option c is correct option. The question pertains to applying the Formula for the General Term of an Arithmetic Sequence in mathematics, demonstrating calculations to find a term in an arithmetic sequence as part of algebra topics typically taught in high school.

Step-by-step explanation:

The student's question is about using the Formula for the General Term of an Arithmetic Sequence to find a specific term within the sequence. This indicates a mathematical problem typically encountered in algebra and sequence-related topics covered in high school. Addressing this question involves explaining the arithmetic sequence formula, which is an = a1 + (n - 1)d, where an is the nth term of the sequence, a1 is the first term, d is the common difference, and n is the term number.

To solve a problem using this formula, identify the first term and common difference from the sequence, then substitute these values and the term number into the formula to find the desired term.

Example Calculation

To illustrate, let's say we have an arithmetic sequence where the first term is 5 and the common difference is 3. If we wish to find the 10th term, we substitute into the formula: a10 = 5 + (10 - 1) × 3 = 5 + 27 = 32. Thus, the 10th term of the sequence is 32.

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