Find a formula for a_n for the arithmetic sequence. A₁ = 0, d = - $\frac { 6 } { 7 }$ A)a_n = $\frac { 6 } { 7 }$ n - $\frac { 6 } { 7 }$ B)a_n = - $\frac { 7 } { 6 }$ n - $\frac { 7 } { 6 }$ C)a_n = - $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ D)a_n = $\frac { 6 } { 7 }$ n + $\frac { 6 } { 7 }$ E)a_n = - $\frac { 7 } { 6 }$ n + $\frac { 7 } { 6 }$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$. Given $a_1 = 0$ and $d = -\frac{6}{7}$, substituting these values gives $a_n = 0 + (n-1)(-\frac{6}{7}) = -\frac{6}{7}n + \frac{6}{7}$.

Find a Formula for An for the Arithmetic Sequence 67\frac { 6 } { 7 }76​

Find a Formula for A_n for the Arithmetic Sequence $\frac { 6 } { 7 }$