High School

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Write an expression to describe the sequence, where \( n = 1 \) for the first term: 94, 188, 282, 376

A. \( 94n \)

B. \( 94n + 94 \)

C. \( 94n + 94n \)

D. \( 94n + 94(n - 1) \)

Answer :

Final answer:

The sequence 94, 188, 282, 376 can be described by the expression 94n + 94(n - 1), indicating it's an arithmetic sequence with a common difference of 94.

Explanation:

The sequence given is 94, 188, 282, 376, which is an arithmetic sequence where each term increases by 94 from the previous term. The first term when n = 1 is 94. To find the nth term, we'll use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n-1)d, where a1 is the first term and d is the common difference between the terms. In this case, a1 = 94 and d = 94. Substituting these values into the formula gives us an = 94 + (n-1)(94), which simplifies to 94n + 94(n - 1).

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