Math

QuestionFind the 15th 15^{\text {th }} term of the sequence an=2n(n+3)a_{n}=-2 n(n+3). Choices: -540, -12, 234, 540.

Studdy Solution

STEP 1

Assumptions1. The sequence is defined by the formula an=n(n+3)a_{n}=- n(n+3). We are looking for the15th term of the sequence, i.e., a15a_{15}

STEP 2

To find the15th term of the sequence, we substitute n=15n=15 into the sequence formula.
a15=215(15+)a_{15}=-2 \cdot15(15+)

STEP 3

implify the expression inside the parentheses.
a15=21518a_{15}=-2 \cdot15 \cdot18

STEP 4

Perform the multiplication to find the15th term.
a15=21518=540a_{15}=-2 \cdot15 \cdot18 = -540So, the15th term of the sequence is -540.

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