#### Answer

$r=2;a_{1}=-3$

#### Work Step by Step

$\dfrac {a_{m}}{a_{n}}=r^{m-n}\Rightarrow \dfrac {a_{7}}{a_{2}}=r^{5}\Rightarrow \dfrac {-192}{-6}=r^{5}=32\Rightarrow r=2;a_{2}=a_{1}\times r\Rightarrow -6=a_{1}\times 2\Rightarrow a_{1}=-3$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$r=2;a_{1}=-3$

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