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 succe

Question

2 years ago

9

ssive skip. Which explicit formula describes this geometric sequence?
(answer options in image below, please help)

1 answer:

denpristay [2] · Answer 1 · 2023-11-10T08:16:15+03:00

The explicit formula is an= 4.2* $(0.85)^{n-1}$ .

The correct option is (b)

<h3>What is explicit formula?</h3>

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 $a_n= ar^{n-1}$

an=4.2* $(17/20)^{n-1}$

an= 4.2* $(0.85)^{n-1}$

Hence, an= 4.2* $(0.85)^{n-1}$

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