# Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - 12.1 Exercises - Skill Practice - Page 798: 18

n-th term:$\quad a_{n}=n^{3}+1$ The next term is $\quad a_{5}=126$

#### Work Step by Step

Each term of the given sequence is close to the corresponding terms of $1,\ 8$, $27$, $64$, $...\qquad$ (cubes of natural numbers) The given sequence is interpreted as $1^{3}+1$, $2^{3}+1$, $3^{3}+1$, $4^{3}+1$, $...,\ n^{3}+1$,... We expect the next term to be $5^{3}+1=126$

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