### Home > A2C > Chapter 6 > Lesson 6.2.5 > Problem6-116

6-116.

Using the sequences in the previous problem, suppose we define a new sequence, $s(n)$, defined as $s(n)=q(t(n))$, a compostion of two sequences. Do you think the new sequence will be arithmetic? Geometric? Neither? Explain. Make a table of values. Does the table support your hypothesis, or do you want to change your guess? Explain.

$(n)=(50−7n)^2−6(50−7n)+17$
Is this arithmetic, geometric, or quadratic?

Copy and complete the table.

$\left. \begin{array} { | c | c | c | c | c | c | } \hline n & { 1 } & { 2 } & { 3 } & { 4 } & { 5 } \\ \hline s ( n ) & { 1608 } & { 1097 } & { } & { } \\ \hline \end{array} \right.$

Is there a constant difference or a constant multiplier?