[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]
- A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?
[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]
[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
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