A sequence starts $-3,1,5,9\dots$

1. If you wanted to find the $50th$ term of the sequence, would an explicit equation or a recursive equation be more useful?

   Hint (a):

   Recall the definitions of explicit and recursive equations.

   Answer (a):

   Explicit.

2. Write the equation in “first term” form as you did in problem 7-108.

   Hint (b):

   Refer to problem 7-108 to recall what the first term form means.

   Answer (b):

   $t(n)=−3+4(n−1)$

3. What is the $50th$ term of the sequence?

   Hint (c):

   Insert $50$ for $n$ in the equation you found in part (b).

4. Write the explicit equation for the sequence $3$, $2\frac{2}{3}$, $2\frac{1}{3}$, $2$, $1\frac{2}{3}$... in “first term” form.