Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

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 $5^{3}+1=126$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.