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 \( 5 \).
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For \( n = 1 \):
\[ a_1 = -5^1 = -5 \] -
For \( n = 2 \):
\[ a_2 = -5^2 = -25 \] -
For \( n = 3 \):
\[ a_3 = -5^3 = -125 \] -
For \( n = 4 \):
\[ a_4 = -5^4 = -625 \] -
For \( n = 5 \):
\[ a_5 = -5^5 = -3125 \]
Thus, the first five terms of the sequence are: \[ -5, -25, -125, -625, -3125 \]