Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - 11.2 Arithmetic Sequences and Series - 11.2 Exercises: 16

Answer

$q-5t^{2}$

Work Step by Step

$d=a_{n+1}-a_{n}=\left( -9t^{2}+3q\right) -\left( -4t^{2}+2q\right) =\left( -4t^{2}+2q\right) -\left( t^{2}+q\right) =q-5t^{2}$
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