### Home > PC > Chapter 8 > Lesson 8.2.1 > Problem8-75

8-75.

Compute the first five terms of the recursively defined sequence.

$t_{n+1} = t_{n} + 2n + 1$; $t_{1} = 1$

$t = 1$
If $n = 1$, then...
$t_{1+1} = t_{1} + 2\left(1\right) + 1\\t_{2} = 1 + 2\left(1\right) + 1\\t_{2} = 4$
Now what if $n = 2$, $3$, or $4$?