Question

A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?​

Answer 1

`\huge{\mathbb{\tt { QUESTION:}}}`

• A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?

`\huge{\mathbb{\tt {ANSWER:}}}`

`\{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}`

`\huge{\mathbb{\tt {EXPLANATION:}}}`

`a(1) = - 16 \\ a(n) = 1.5 * a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36`

`\{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}`

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Answer 2

a(4) = 1.5(-36) = -54

Explanation:

a(1) = -16 is given.

a(n) = 1.5*a(n-1).

a(2) = 1.5(-16) = -24

a(3) = 1.5(-24) = - 36

a(4) = 1.5(-36) = -54