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Write a formula to represent the sequence, then find a27 in the sequence: 6, 1, -4, -9, ...

a) a_n = 6 - 5n; a27 = -120
b) a_n = 6 - 4n; a27 = -102
c) a_n = 6 - 3n; a27 = -90
d) a_n = 6 - 2n; a27 = -72

User Mihaela
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1 Answer

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Final answer:

The formula that represents the sequence is a_n = 6 - 5n. The 27th term of the sequence is -129.

Step-by-step explanation:

In mathematics, a sequence is an ordered list of numbers, called terms, that follow a specific pattern or rule. Each term in the sequence is identified by its position or index in the list. Sequences can be finite or infinite.

The formula that represents the sequence is an = 6 - 5n. To find a27, substitute 27 for n in the formula:

a27 = 6 - 5(27) = 6 - 135 = -129

Therefore, none of the options provided (a, b, c, d) accurately represents the sequence and its 27th term.

User Jbellis
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