Jia is skipping a rock across a pond. The sequence {4.2, 3.57, 3.0345, 2.5793, …} describes the height of the rock on each successive skip. Which explicit formula describes this geometric sequence?

(answer options in image below, please help)

Jia is skipping a rock across a pond The sequence 42 357 30345 25793 describes the height of the rock on each successive skip Which explicit formula describes t class=

Respuesta :

The explicit formula is an= 4.2* [tex](0.85)^{n-1}[/tex].

The correct option is (b)

What is explicit formula?

The explicit formula for a geometric sequence is of the form an = a1r-1, where r is the common ratio.

Given sequence:  {4.2, 3.57, 3.0345, 2.5793, …}

General formula [tex]a_n= ar^{n-1}[/tex]

an=4.2* [tex](17/20)^{n-1}[/tex]

an= 4.2* [tex](0.85)^{n-1}[/tex]

Hence, an= 4.2* [tex](0.85)^{n-1}[/tex]

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