Write the first five terms of the sequence given the first term and common difference. a_(1)=1 d=-6 Show your work here a_(1)= a_(2)= a_(3)= a_(5)=

To find the first five terms of the sequence, we can use the formula for the nth term of an arithmetic sequence:<br /><br />$a_n = a_1 + (n-1)d$<br /><br />where $a_n$ is the nth term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number.<br /><br />Given that $a_1 = 1$ and $d = -6$, we can calculate the first five terms as follows:<br /><br />$a_1 = 1$<br /><br />$a_2 = a_1 + (2-1)d = 1 + (-6) = -5$<br /><br />$a_3 = a_1 + (3-1)d = 1 + 2(-6) = -11$<br /><br />$a_4 = a_1 + (4-1)d = 1 + 3(-6) = -17$<br /><br />$a_5 = a_1 + (5-1)d = 1 + 4(-6) = -23$<br /><br />Therefore, the first five terms of the sequence are:<br /><br />$a_1 = 1$<br /><br />$a_2 = -5$<br /><br />$a_3 = -11$<br /><br />$a_4 = -17$<br /><br />$a_5 = -23$