Determine the first five terms of the sequence defined by the following explicit formula:
a^_n= -4n-5
To find the first five terms of the sequence defined by the explicit formula a_n = -4n - 5, we simply plug in n = 1, 2, 3, 4, and 5 into the formula:
a_1 = -4(1) - 5 = -4 - 5 = -9
a_2 = -4(2) - 5 = -8 - 5 = -13
a_3 = -4(3) - 5 = -12 - 5 = -17
a_4 = -4(4) - 5 = -16 - 5 = -21
a_5 = -4(5) - 5 = -20 - 5 = -25
Therefore, the first five terms of the sequence are: -9, -13, -17, -21, -25.