Write the first five terms of each sequence whose general term is given.a Subscript nequalsminus5 Superscript nQuestion content area bottomPart 1a 1 equals 5​(Simplify your answer.Type an integer or​ fraction.)

Answer 1

To find the first five terms of the sequence defined by the general term \( a_n = -5^n \), we will calculate the values for \( n = 1, 2, 3, 4, \) and \( 5 \).

1. For \( n = 1 \):
   \[ a_1 = -5^1 = -5 \]

2. For \( n = 2 \):
   \[ a_2 = -5^2 = -25 \]

3. For \( n = 3 \):
   \[ a_3 = -5^3 = -125 \]

4. For \( n = 4 \):
   \[ a_4 = -5^4 = -625 \]

5. For \( n = 5 \):
   \[ a_5 = -5^5 = -3125 \]

Thus, the first five terms of the sequence are: \[ -5, -25, -125, -625, -3125 \]