Question

v7) Find
\[c(8)\] in the sequence given by
\[c(n) = 20-17(n-1)\].
\[c(8)=\]

Answer 1

To find \( c(8) \) in the sequence defined by the formula

\[
c(n) = 20 - 17(n - 1),
\]

we will substitute \( n = 8 \) into the expression.

First, we calculate \( n - 1 \) when \( n = 8 \):

\[
n - 1 = 8 - 1 = 7.
\]

Now we substitute this value into the formula for \( c(n) \):

\[
c(8) = 20 - 17 \cdot 7.
\]

Next, we need to calculate \( 17 \cdot 7 \):

\[
17 \cdot 7 = 119.
\]

Now substituting back:

\[
c(8) = 20 - 119.
\]

Simplifying this gives us:

\[
c(8) = 20 - 119 = -99.
\]

Therefore, the final answer is

\[
\boxed{-99}.
\]