Write a formula for the general term, or nth term, for the given sequence.
-1 ·5, 2 ·6, 3 ·7, 4 ·8, 5 ·9, . . .
A) $a _ { n } = n ( n - 4 )$
B) $a _ { n } = n + 4 n$
C) $a _ { n } = n ( n + 4 )$
D) $a _ { n } = n ( n + 5 )$

Question

Write a formula for the general term, or nth term, for the given sequence.
-1 ·5, 2 ·6, 3 ·7, 4 ·8, 5 ·9, . . . 
A) $a _ { n } = n ( n - 4 )$
B) $a _ { n } = n + 4 n$
C) $a _ { n } = n ( n + 4 )$
D) $a _ { n } = n ( n + 5 )$

Quizplus · Accepted Answer

The pattern in the sequence is that each term is the product of two consecutive numbers where the second factor is 4 more than the first factor (n). Thus, the nth term is given by $a_n = n(n + 4)$.

Write a Formula for the General Term, or Nth Term an=n(n−4)a _ { n } = n ( n - 4 )an​=n(n−4)

Write a Formula for the General Term, or Nth Term $a _ { n } = n ( n - 4 )$