#### 41**1.
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- A sequence is defined by \( a_n = 3n^2 - 2n + 1 \). Find \( a_4 \).
- Substitute \( n = 4 \): \( a_4 = 3(4)^2 - 2(4) + 1 = 48 - 8 + 1 = 41 \).
- A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 64 meters, what is the area of the rectangle?
- Let the width be \( w \) meters. Then the length is \( 3w \) meters.
- The perimeter is given by the formula \( 2(\text{length} + \text{width}) \).
