Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are :
`a_(n)=n(n+2)`

Explanation

To find the first five terms of the sequence defined by the nth term \( a_n = n(n + 2) \), we will substitute the values of \( n \) from 1 to 5 into the formula.

**Step-by-step solution:**

1. **Calculate \( a_1 \)**:
\[ a_1 = 1(1 + 2) = 1 \times 3 = 3 \]

2. **Calculate \( a_2 \)**:
\[ a_2 = 2(2 + 2) = 2 \times 4 = 8 \]

3. **Calculate \( a_3 \)**:
\[ a_3 = 3(3 + 2) = 3 \times 5 = 15 \]

4. **Calculate \( a_4 \)**:
\[ a_4 = 4(4 + 2) = 4 \times 6 = 24 \]

5. **Calculate \( a_5 \)**:
\[ a_5 = 5(5 + 2) = 5 \times 7 = 35 \]

**Final Result**:
The first five terms of the sequence are:
\[ 3, 8, 15, 24, 35 \]

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