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