Study Guide and Review
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Use the formula for the nth term of an arithmetic sequence.
a_(18)= - 86
Explicit equations for the nth term of an arithmetic sequence follow a certain format.
a_n= a_1+( n-1) d
In this form, a_1 is the first term in the sequence, d is the common difference, and n is the position of the desired term in the sequence. We are given that a_1= - 1 and d= - 5, so we can substitute these values to write the equation.
Distribute (- 5)
Remove parentheses
Add terms
To find the value of the 18th term, we substitute n= 18 into this equation and solve for a_(18).
The 18th term in the sequence is - 86.