Solve the Sequence Equation: Is 1 a Term in 15n - 20?

$15n-20$

Is the number 1 a term in the sequence above?

To determine if the number 1 is a term in the sequence given by $15n - 20$, we set the expression equal to 1:

$15n - 20 = 1$

Now, solve for $n$:

$15n - 20 + 20 = 1 + 20$
$15n = 21$

Divide both sides by 15 to solve for $n$:

$n = \frac{21}{15}$

Simplify the fraction:

$n = \frac{7}{5}$

The result, $n = \frac{7}{5}$, is not an integer. Since $n$ must be a positive integer in sequence indexing, there is no valid solution for integer $n$. Therefore, the number 1 cannot be a term of this sequence.

The correct answer is No.