Question

6) Find
\[b(10)\] in the sequence given by
\[b(n) = -5+9(n-1)\].
\[b(10)=\]

Answer 1

To find \( b(10) \) in the sequence defined by

\[
b(n) = -5 + 9(n - 1),
\]

we can substitute \( n = 10 \) into the formula.

Substituting \( n = 10 \):

\[
b(10) = -5 + 9(10 - 1).
\]

First, we simplify \( 10 - 1 \):

\[
10 - 1 = 9.
\]

Now, substituting this back into the equation:

\[
b(10) = -5 + 9(9).
\]

Next, calculate \( 9 \times 9 \):

\[
9 \times 9 = 81.
\]

Now substitute \( 81 \) back into the equation:

\[
b(10) = -5 + 81.
\]

Finally, perform the addition:

\[
b(10) = 76.
\]

Thus, we find that

\[
b(10) = \boxed{76}.
\]