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

Question

Quizplus · Accepted Answer

The pattern in the sequence is that the numerator is always 1 less than the denominator. For the nth term, the numerator is $n+1$ and the denominator is $n+2$, making the formula $a_n = \frac{n+1}{n+2}$.

Write a Formula for the General Term, or Nth Term 23,34,45,56,67,…\frac { 2 } { 3 } , \frac { 3 } { 4 } , \frac { 4 } { 5 } , \frac { 5 } { 6 } , \frac { 6 } { 7 } , \ldots32​,43​,54​,65​,76​,…

Write a Formula for the General Term, or Nth Term $\frac { 2 } { 3 } , \frac { 3 } { 4 } , \frac { 4 } { 5 } , \frac { 5 } { 6 } , \frac { 6 } { 7 } , \ldots$