How do you write a rule for the nth term of the arithmetic sequence and then find a_10 for -25, -29, -33, -37, -41?

1 Answer
May 12, 2017

nth term = -4n-21
10th term = -61

Explanation:

nth term = a+(n-1)d
where a = first term of the sequence and d is the constant added or subtracted between successive terms

Here we will substitute a with -25 and d with -4
nth term = -25+(n-1)-4
= -25+(-4n+4)
= -25-4n+4
= -4n-21
10th term = -4(10)-21
= -40-21
= -61